135804 has 12 divisors (see below), whose sum is σ = 316904. Its totient is φ = 45264.

The previous prime is 135799. The next prime is 135829. The reversal of 135804 is 408531.

135804 is nontrivially palindromic in base 11.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 135804.

It is an unprimeable number.

135804 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5647 + ... + 5670.

2¹³⁵⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

135804 is an abundant number, since it is smaller than the sum of its proper divisors (181100).

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

135804 is a wasteful number, since it uses less digits than its factorization.

135804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11322 counting only the distinct ones).

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

The square root of 135804 is about 368.5159426673. The cubic root of 135804 is about 51.4009154656.

It can be divided in two parts, 135 and 804, that added together give a palindrome (939).

The spelling of 135804 in words is "one hundred thirty-five thousand, eight hundred four".