125904000 has 256 divisors, whose sum is σ = 434079360. Its totient is φ = 32256000.

The previous prime is 125903983. The next prime is 125904019. The reversal of 125904000 is 409521.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063970 + ... + 2064030.

Almost surely, 2^125904000 is an apocalyptic number.

125904000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217039680).

125904000 is an abundant number, since it is smaller than the sum of its proper divisors (308175360).

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

125904000 is an equidigital number, since it uses as much as digits as its factorization.

125904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

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

The square root of 125904000 is about 11220.6951656303. The cubic root of 125904000 is about 501.2024392947.

The spelling of 125904000 in words is "one hundred twenty-five million, nine hundred four thousand".