125768904 has 64 divisors (see below), whose sum is σ = 335059200. Its totient is φ = 39226176.

The previous prime is 125768897. The next prime is 125768927. The reversal of 125768904 is 409867521.

It is a super-2 number, since 2×125768904² = 31635634426722432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36187 + ... + 39509.

It is an arithmetic number, because the mean of its divisors is an integer number (5235300).

Almost surely, 2^125768904 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 125768904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167529600).

125768904 is an abundant number, since it is smaller than the sum of its proper divisors (209290296).

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

125768904 is a wasteful number, since it uses less digits than its factorization.

125768904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 125768904 is about 11214.6736020269. The cubic root of 125768904 is about 501.0231103956.

The spelling of 125768904 in words is "one hundred twenty-five million, seven hundred sixty-eight thousand, nine hundred four".