125904 has 40 divisors (see below), whose sum is σ = 338272. Its totient is φ = 40320.

The previous prime is 125899. The next prime is 125921. The reversal of 125904 is 409521.

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 125904.

It is an unprimeable number.

125904 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 7 ways as a sum of consecutive naturals, for example, 2034 + ... + 2094.

2¹²⁵⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169136).

125904 is an abundant number, since it is smaller than the sum of its proper divisors (212368).

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

125904 is a wasteful number, since it uses less digits than its factorization.

125904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 125904 is about 354.8295365383. The cubic root of 125904 is about 50.1202439295.

The spelling of 125904 in words is "one hundred twenty-five thousand, nine hundred four".