135180 has 36 divisors (see below), whose sum is σ = 410592. Its totient is φ = 36000.

The previous prime is 135173. The next prime is 135181. The reversal of 135180 is 81531.

It is a happy number.

135180 is nontrivially palindromic in base 8.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (135181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 196 + ... + 555.

2¹³⁵¹⁸⁰ is an apocalyptic number.

135180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135180 is an abundant number, since it is smaller than the sum of its proper divisors (275412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135180 is a wasteful number, since it uses less digits than its factorization.

135180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 135180 is about 367.6683287965. The cubic root of 135180 is about 51.3220679539.

It can be divided in two parts, 1351 and 80, that added together give a triangular number (1431 = T₅₃).

The spelling of 135180 in words is "one hundred thirty-five thousand, one hundred eighty".