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{{example farm|date=September 2018}}
{{Infobox number
{{Infobox number
| number = 145
| number = 145
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== In mathematics ==
== In mathematics ==
* Although composite, 145 is a [[pseudoprime]] to sixteen bases.
* Although composite, 145 is a [[Fermat pseudoprime]] in [[16 (number)|sixteen]] bases with b < 145. In four of those bases, it is a [[strong pseudoprime]]: 1, 12, 17, and 144.
* Given 145, the [[Mertens function]] returns [[0 (number)|0]].<ref>{{Cite web|url=https://oeis.org/A028442|title=Sloane's A028442 : Numbers n such that Mertens' function is zero|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref>
* the [[Mertens function]] returns [[0 (number)|0]].<ref>{{Cite web|url=https://oeis.org/A028442|title=Sloane's A028442 : Numbers n such that Mertens' function is zero|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref>
* 145 is a [[pentagonal number]]<ref>{{Cite web|url=https://oeis.org/A000326|title=Sloane's A000326 : Pentagonal numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref> and a [[centered square number]].<ref>{{Cite web|url=https://oeis.org/A001844|title=Sloane's A001844 : Centered square numbers|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref>
* 145 is a [[pentagonal number]]<ref>{{Cite web|url=https://oeis.org/A000326|title=Sloane's A000326 : Pentagonal numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref> and a [[centered square number]].<ref>{{Cite web|url=https://oeis.org/A001844|title=Sloane's A001844 : Centered square numbers|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref>
* <math>145 = 12^2 + 1^2 = 8^2 + 9^2</math>. 145 is the fourth number that is the sum of two different pairs of [[square (algebra)|squares]]. Also, 145 is the result of 3<sup>4</sup> + 4<sup>3</sup>, making it a [[Leyland number]].
* <math>145 = 12^2 + 1^2 = 8^2 + 9^2</math>. 145 is the fourth number that is the sum of two different pairs of [[square (algebra)|squares]]. Also, 145 is the result of 3<sup>4</sup> + 4<sup>3</sup>, making it a [[Leyland number]].
* <math>145 = 1! + 4! + 5!</math>, making it a [[factorion]].<ref name=":0">{{Cite web|url=https://oeis.org/A014080|title=Sloane's A014080 : Factorions|last=|first=|date=|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref> The only other numbers that have the property that they are the sum of the [[factorial]]s of their digits are [[1 (number)|1]], [[2 (number)|2]] and 40585.<ref name=":0" />
* <math>145 = 1! + 4! + 5!</math>, making it a [[factorion]].<ref name=":0">{{Cite web|url=https://oeis.org/A014080|title=Sloane's A014080 : Factorions|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-28}}</ref> The only other numbers that have this property are [[1 (number)|1]], [[2 (number)|2]] and [[40,000|40585]].<ref name=":0" />
* <math>145=5^2+5!=11^2+4!=12^2+1!</math>, making 145 the smallest number that can be written as the sum of a [[Square number|square]] number and a factorial in 3 ways. The next number with this property is [[40,000|46249]].<ref>{{Cite web |title=A359013 - OEIS |url=https://oeis.org/A359013 |access-date=2022-12-11 |website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation}}</ref>


==In the military==
==In the military==
* {{USS|Armada|AM-145}} was a [[United States Navy]] {{sclass-|Admirable|minesweeper|1}} during World War II
* {{USS|Armada|AM-145}} was a [[United States Navy]] {{sclass|Admirable|minesweeper|1}} during World War II
* {{USS|Colbert|APA-145}} was a United States Navy {{sclass-|Haskell|attack transport|1}} during World War II
* {{USS|Colbert|APA-145}} was a United States Navy {{sclass|Haskell|attack transport|1}} during World War II
* {{USS|General Harry Taylor|AP-145}} was a United States Navy ''General G. O. Squier''-class transport ship during World War II
* {{USS|General Harry Taylor|AP-145}} was a United States Navy {{sclass|General G. O. Squier|transport}} during World War II
* {{USS|Greer|DD-145}} was a United States Navy {{sclass-|Wickes|destroyer|1}} during World War II
* {{USS|Greer|DD-145}} was a United States Navy {{sclass|Wickes|destroyer|1}} during World War II
* {{USS|Huse|DE-145}} was a United States Navy {{sclass-|Edsall|destroyer escort|1}} during World War II
* {{USS|Huse|DE-145}} was a United States Navy {{sclass|Edsall|destroyer escort|1}} during World War II
* {{USS|Roanoke|CL-145}} was a United States Navy cruiser following World War II
* {{USS|Roanoke|CL-145}} was a United States Navy {{sclass|Worcester|cruiser}} following World War II


==In sports==
==In sports==
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==In transportation==
==In transportation==
* [[Eurocopter EC 145]] is a twin-engine light utility [[helicopter]]
* [[Eurocopter EC 145]] is a twin-engine light utility [[helicopter]]
* [https://web.archive.org/web/20080916185903/http://www.tertrerouge-racingcars.com/Delahaye145sports.html The Delahaye 145 Sports Car] from 1938
* [[The Delahaye 145 Sports Car]] from 1938<ref>{{cite web |url=http://www.tertrerouge-racingcars.com/Delahaye145sports.html |title=1938 Delahaye 145 le mans Slot Car 1/32 |website=www.tertrerouge-racingcars.com |access-date=14 January 2022 |archive-url=https://web.archive.org/web/20080916185903/http://www.tertrerouge-racingcars.com/Delahaye145sports.html |archive-date=16 September 2008 |url-status=dead}}</ref>
* The [[Alfa Romeo 145]] car produced between 1994 and 2001
* The [[Alfa Romeo 145]] car produced between 1994 and 2001
* [[Volvo 140 Series|Volvo 145 Express]] station wagon
* [[Volvo 140 Series|Volvo 145 Express]] station wagon
* [[Embraer ERJ 145 family|ERJ 145]] [[Regional airliner|regional jets]] produced by [[Embraer]]
* [[Embraer ERJ 145 family|ERJ 145]] [[Regional airliner|regional jets]] produced by [[Embraer]]
* [http://goldengatetransit.org/schedules/pages/Route_145.html Golden Gate Transit Bus Route 145]
* Golden Gate Transit Bus Route 145<ref>{{Cite web|url=http://goldengatetransit.org/schedules/pages/Route_145.html|title = Ferry Schedules & Maps - Ferry &#124; Golden Gate}}</ref>
* [http://www.londonbusroutes.net/times/145.htm London Bus Route 145]
* London Bus Route 145<ref>{{Cite web|url=http://www.londonbusroutes.net/times/145.htm|title = Route 145|website=London Bus Routes}}</ref>


==In other fields==
==In other fields==
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* The year AD 145 or 145 BC
* The year AD 145 or 145 BC
* 145 AH is a year in the [[Islamic calendar]] that corresponds to 762 – 763 [[Common Era|CE]]
* 145 AH is a year in the [[Islamic calendar]] that corresponds to 762 – 763 [[Common Era|CE]]
* [[145 Adeona]] is a large [[Asteroid belt|Main belt]] [[asteroid]]
* [[145 Adeona]] is a large [[Asteroid belt|main belt]] [[asteroid]]
* [[Psalm 145]]
* [http://www.biblegateway.com/passage/?book_id=23&chapter=145&version=31 Psalm 145]
* [[Sonnet 145]]
* [[Sonnet 145]]
* [[Apple Computer]] laptops, such as the [[PowerBook 145]] and [[PowerBook 145B]]
* [[Apple Computer]] laptops, such as the [[PowerBook 145]] and [[PowerBook 145B]]
* [[Puff Daddy]] song “Picture it” includes the lyrics “in something foreign soarin’ 145”
* [[Puff Daddy]] song “Picture it” includes the lyrics “in something foreign soarin’ 145”
* [[Tsuu T'ina Nation 145, Alberta|Tsuu T'ina Nation 145]] [[Indian reserve]] in [[Alberta]], [[Canada]]
* [[Tsuu T'ina Nation 145, Alberta|Tsuu T'ina Nation 145]] [[Indian reserve]] in [[Alberta]], Canada
* 145 [[Milligram#SI multiples|mg]] medicine tablets, as with [[Tricor]]
* 145 [[Milligram#SI multiples|mg]] medicine tablets, as with [[Tricor]]
* "One Four Five" is a song by [[The Cat Empire]]
* "One Four Five" is a song by [[The Cat Empire]]
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==External links==
==External links==
{{Commons cat|145 (number)}}
{{Commons category}}
* [https://web.archive.org/web/20120402092325/http://numbers.daresler.net/145/ The Natural Number 145]
* [https://web.archive.org/web/20120402092325/http://numbers.daresler.net/145/ The Natural Number 145]
* {{cite web|last=Parker|first=Matt|title=145 and the Melancoil|url=http://www.numberphile.com/videos/melancoil.html|work=Numberphile|publisher=[[Brady Haran]]|access-date=2013-04-06|archive-url=https://web.archive.org/web/20130514215714/http://www.numberphile.com/videos/melancoil.html|archive-date=2013-05-14|dead-url=yes|df=}}
* {{cite web|last=Parker|first=Matt|title=145 and the Melancoil|url=http://www.numberphile.com/videos/melancoil.html|work=Numberphile|publisher=[[Brady Haran]]|access-date=2013-04-06|archive-url=https://web.archive.org/web/20130514215714/http://www.numberphile.com/videos/melancoil.html|archive-date=2013-05-14|url-status=dead}}


{{Integers|1}}
{{Integers|1}}

Latest revision as of 20:17, 5 March 2024

← 144 145 146 →
Cardinalone hundred forty-five
Ordinal145th
(one hundred forty-fifth)
Factorization5 × 29
Divisors1, 5, 29, 145
Greek numeralΡΜΕ´
Roman numeralCXLV
Binary100100012
Ternary121013
Senary4016
Octal2218
Duodecimal10112
Hexadecimal9116

145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.

In mathematics

[edit]
  • Although composite, 145 is a Fermat pseudoprime in sixteen bases with b < 145. In four of those bases, it is a strong pseudoprime: 1, 12, 17, and 144.
  • the Mertens function returns 0.[1]
  • 145 is a pentagonal number[2] and a centered square number.[3]
  • . 145 is the fourth number that is the sum of two different pairs of squares. Also, 145 is the result of 34 + 43, making it a Leyland number.
  • , making it a factorion.[4] The only other numbers that have this property are 1, 2 and 40585.[4]
  • , making 145 the smallest number that can be written as the sum of a square number and a factorial in 3 ways. The next number with this property is 46249.[5]

In the military

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In sports

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In transportation

[edit]

In other fields

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145 is also:

See also

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References

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  1. ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  2. ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  3. ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  4. ^ a b "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
  5. ^ "A359013 - OEIS". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2022-12-11.
  6. ^ "1938 Delahaye 145 le mans Slot Car 1/32". www.tertrerouge-racingcars.com. Archived from the original on 16 September 2008. Retrieved 14 January 2022.
  7. ^ "Ferry Schedules & Maps - Ferry | Golden Gate".
  8. ^ "Route 145". London Bus Routes.
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