# 135 (number)

 ← 134 135 136 →
Cardinalone hundred thirty-five
Ordinal135th
(one hundred thirty-fifth)
Factorization33 × 5
Divisors1, 3, 5, 9, 15, 27, 45, 135
Greek numeralΡΛΕ´
Roman numeralCXXXV
Binary100001112
Ternary120003
Quaternary20134
Quinary10205
Senary3436
Octal2078
DuodecimalB312
Vigesimal6F20
Base 363R36

135 (one hundred [and] thirty-five) is the natural number following 134 and preceding 136.

## In mathematics

This number in base 10 can be expressed in operations using its own digits in at least two different ways. One is as a sum-product number,

$135=(1+3+5)(1\times 3\times 5)$ (1 and 144 share this property) and the other is as the sum of consecutive powers of its digits:

$135=1^{1}+3^{2}+5^{3}$ (175, 518, and 598 also have this property).

135 is a Harshad number, and a repdigit in bases 18 and 26.

There are a total of 135 primes between 1,000 and 2,000.

$135=11n^{2}+11n+3$ for $n=3$ . This polynomial plays an essential role in Apéry's proof that $\zeta (3)$ is irrational.