125623904 has 96 divisors (see below), whose sum is σ = 296755200. Its totient is φ = 51217920.

The previous prime is 125623871. The next prime is 125623909. The reversal of 125623904 is 409326521.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125623909) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 548462 + ... + 548690.

It is an arithmetic number, because the mean of its divisors is an integer number (3091200).

Almost surely, 2^125623904 is an apocalyptic number.

125623904 is a gapful number since it is divisible by the number (14) 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 125623904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148377600).

125623904 is an abundant number, since it is smaller than the sum of its proper divisors (171131296).

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

125623904 is a wasteful number, since it uses less digits than its factorization.

125623904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 125623904 is about 11208.2069930922. The cubic root of 125623904 is about 500.8304918030.

The spelling of 125623904 in words is "one hundred twenty-five million, six hundred twenty-three thousand, nine hundred four".