135 is the number of [[Partitioninteger (number theory)|partitionspartition]]s of [[14 (number)|14]], and the number of rooted trees with [[15 (number)|15]] nodes and height at most 2.<ref name="partitions">{{Cite OEIS |A000041 |The number of partitions of n (the partition numbers) |access-date=2022-12-05 }}</ref> 135 is 5-[[Smooth number|smooth]], since its prime factorization is <math>3^3 \times 5</math>, and a [[Harshad number]] in [[decimal]].<ref>{{Cite OEIS |A005349 |Niven (or Harshad, or harshad) numbers: numbers that are divisible by the sum of their digits. |access-date=2022-12-05 }}</ref><ref>{{Cite OEIS |A051037 |5-smooth numbers, i.e., numbers whose prime divisors are all less than or equal to five. |access-date=2022-12-05 }}</ref>
Using its own digits, 135 in [[base-10]] can be expressed in operations as the sum of consecutive powers of its digits, and as a [[sum-product number]]:
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* [[List of highways numbered 135]]
* [[United Nations Security Council Resolution 135]]
* [[List of United States Supreme Court cases, volume 139135|United States Supreme Court cases, Volume 135]]
