135084 has 12 divisors (see below), whose sum is σ = 315224. Its totient is φ = 45024.

The previous prime is 135077. The next prime is 135089. The reversal of 135084 is 480531.

135084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 135084.

It is not an unprimeable number, because it can be changed into a prime (135089) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5617 + ... + 5640.

2¹³⁵⁰⁸⁴ is an apocalyptic number.

It is an amenable number.

135084 is an abundant number, since it is smaller than the sum of its proper divisors (180140).

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

135084 is a wasteful number, since it uses less digits than its factorization.

135084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11264 (or 11262 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 135084 is about 367.5377531629. The cubic root of 135084 is about 51.3099160446.

The spelling of 135084 in words is "one hundred thirty-five thousand, eighty-four".