125291904 has 96 divisors (see below), whose sum is σ = 353848200. Its totient is φ = 39272448.

The previous prime is 125291899. The next prime is 125291927. The reversal of 125291904 is 409192521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×125291904² = 31396122415890432, which contains 22 as substring.

It is a congruent number.

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, 110412 + ... + 111540.

Almost surely, 2^125291904 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 125291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176924100).

125291904 is an abundant number, since it is smaller than the sum of its proper divisors (228556296).

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

125291904 is a wasteful number, since it uses less digits than its factorization.

125291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 125291904 is about 11193.3866188924. The cubic root of 125291904 is about 500.3889027642.

The spelling of 125291904 in words is "one hundred twenty-five million, two hundred ninety-one thousand, nine hundred four".