125925904 has 20 divisors (see below), whose sum is σ = 262749676. Its totient is φ = 58119552.

The previous prime is 125925889. The next prime is 125925907. The reversal of 125925904 is 409529521.

125925904 = T₄₃₉₅ + T₄₃₉₆ + ... + T₄₄₀₇.

It can be written as a sum of positive squares in 2 ways, for example, as 7551504 + 118374400 = 2748^2 + 10880^2 .

It is not an unprimeable number, because it can be changed into a prime (125925907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 302499 + ... + 302914.

Almost surely, 2^125925904 is an apocalyptic number.

It is an amenable number.

125925904 is an abundant number, since it is smaller than the sum of its proper divisors (136823772).

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

125925904 is a wasteful number, since it uses less digits than its factorization.

125925904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605434 (or 605428 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The square root of 125925904 is about 11221.6711767900. The cubic root of 125925904 is about 501.2315029772.

It can be divided in two parts, 12592 and 5904, that added together give a square (18496 = 136²).

The spelling of 125925904 in words is "one hundred twenty-five million, nine hundred twenty-five thousand, nine hundred four".