125937504 has 240 divisors, whose sum is σ = 462502656. Its totient is φ = 32659200.

The previous prime is 125937503. The next prime is 125937509. The reversal of 125937504 is 405739521.

125937504 is a `hidden beast` number, since 12 + 593 + 7 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125937503) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 199269 + ... + 199899.

Almost surely, 2^125937504 is an apocalyptic number.

125937504 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 125937504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231251328).

125937504 is an abundant number, since it is smaller than the sum of its proper divisors (336565152).

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

125937504 is a wasteful number, since it uses less digits than its factorization.

125937504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 654 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 125937504 is about 11222.1880219501. The cubic root of 125937504 is about 501.2468932629.

The spelling of 125937504 in words is "one hundred twenty-five million, nine hundred thirty-seven thousand, five hundred four".