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== In mathematics == |
== In mathematics == |
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* Although composite, 145 is a [[pseudoprime]]. |
* Although composite, 145 is a [[pseudoprime]]. |
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* Given 145, the [[Mertens function]] returns [[0 (number)|0]]. |
* 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> |
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* 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> |
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* 145 is a [[pentagonal number]] and a [[centered square number]]. |
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* <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]]. |
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* <math>145 = 1! + 4! + 5!</math>, making it a [[factorion]]. 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. |
* <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" /> |
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==In the military== |
==In the military== |
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== References == |
== References == |
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* Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 140 |
* Wells, D. ''[[The Penguin Dictionary of Curious and Interesting Numbers]]'' London: Penguin Group. (1987): 140 |
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{{Reflist}} |
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==External links== |
==External links== |
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Revision as of 00:10, 28 May 2016
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|---|---|---|---|---|
| Cardinal | one hundred forty-five | |||
| Ordinal | 145th (one hundred forty-fifth) | |||
| Factorization | 5 × 29 | |||
| Divisors | 1, 5, 29, 145 | |||
| Greek numeral | ΡΜΕ´ | |||
| Roman numeral | CXLV | |||
| Binary | 100100012 | |||
| Ternary | 121013 | |||
| Senary | 4016 | |||
| Octal | 2218 | |||
| Duodecimal | 10112 | |||
| Hexadecimal | 9116 | |||
145 (one hundred [and] forty-five) is the natural number following 144 and preceding 146.
In mathematics
- Although composite, 145 is a pseudoprime.
- Given 145, 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 the property that they are the sum of the factorials of their digits are 1, 2 and 40585.[4]
In the military
- USS Armada (AM-145) was a United States Navy Admirable minesweeper ship during World War II
- USS Colbert (APA-145) was a United States Navy Haskell class attack transport during World War II
- USS General Harry Taylor (AP-145) was a United States Navy General G. O. Squier transport ship during World War II
- USS Greer (DD-145) was a United States Navy Wickes class destroyer during World War II
- USS Huse (DE-145) was a United States Navy Edsall class destroyer during World War II
- USS Roanoke (CL-145) was a United States Navy cruiser following World War II
In sports
- The Grand Union Canal Race is a 145-mile ultramarathon from Birmingham to London along the Grand Union Canal
In transportation
- Eurocopter EC 145 is a twin-engine light utility helicopter
- The Delahaye 145 Sports Car from 1938
- The Alfa Romeo 145 car produced between 1994 and 2001
- Volvo 145 Express station wagon
- ERJ 145 regional jets produced by Embraer
- Golden Gate Transit Bus Route 145
- London Bus Route 145
In other fields
145 is also:
- The year AD 145 or 145 BC
- 145 AH is a year in the Islamic calendar that corresponds to 762 – 763 CE
- 145 Adeona is a large Main belt asteroid
- Psalm 145
- Sonnet 145
- Apple Computer laptops, such as the PowerBook 145 and PowerBook 145B
- Puff Daddy song “Picture it” includes the lyrics “in something foreign soarin’ 145”
- 145th Street blues band
- Tsuu T'ina Nation 145 Indian reserve in Alberta, Canada
- The 2004 film “Love and 145 Watts” starring Jessica Baxter
- 145 mg medicine tablets, as with Tricor
- "One Four Five" is a song by The Cat Empire
See also
- List of highways numbered 145
- United Nations Security Council Resolution 145
- United States Supreme Court cases, Volume 145
References
- Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 140
- ^ "Sloane's A028442 : Numbers n such that Mertens' function is zero". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A000326 : Pentagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
- ^ a b "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-28.
External links
Wikimedia Commons has media related to 145 (number).
- The Natural Number 145
- Parker, Matt. "145 and the Melancoil". Numberphile. Brady Haran.