125637930 has 144 divisors (see below), whose sum is σ = 365994720. Its totient is φ = 29874240.

The previous prime is 125637929. The next prime is 125637991. The reversal of 125637930 is 39736521.

125637930 is a `hidden beast` number, since 1 + 2 + 563 + 7 + 93 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 903801 + ... + 903939.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 2^125637930 is an apocalyptic number.

125637930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125637930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

125637930 is an abundant number, since it is smaller than the sum of its proper divisors (240356790).

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

125637930 is a wasteful number, since it uses less digits than its factorization.

125637930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 125637930 is about 11208.8326778483. The cubic root of 125637930 is about 500.8491304719.

The spelling of 125637930 in words is "one hundred twenty-five million, six hundred thirty-seven thousand, nine hundred thirty".