125285904 has 60 divisors (see below), whose sum is σ = 354072576. Its totient is φ = 41351616.

The previous prime is 125285891. The next prime is 125285933. The reversal of 125285904 is 409582521.

125285904 is a `hidden beast` number, since 12 + 52 + 8 + 590 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10609 + ... + 19055.

Almost surely, 2^125285904 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 125285904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177036288).

125285904 is an abundant number, since it is smaller than the sum of its proper divisors (228786672).

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

125285904 is a wasteful number, since it uses less digits than its factorization.

125285904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8564 (or 8555 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 125285904 is about 11193.1186002829. The cubic root of 125285904 is about 500.3809150671.

The spelling of 125285904 in words is "one hundred twenty-five million, two hundred eighty-five thousand, nine hundred four".