125792640 has 96 divisors (see below), whose sum is σ = 434397600. Its totient is φ = 33543168.

The previous prime is 125792627. The next prime is 125792657. The reversal of 125792640 is 46297521.

125792640 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 9 + 2 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 125792595 and 125792604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5160 + ... + 16679.

It is an arithmetic number, because the mean of its divisors is an integer number (4524975).

Almost surely, 2^125792640 is an apocalyptic number.

125792640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125792640 is an abundant number, since it is smaller than the sum of its proper divisors (308604960).

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

125792640 is a wasteful number, since it uses less digits than its factorization.

125792640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21864 (or 21849 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 125792640 is about 11215.7318084911. The cubic root of 125792640 is about 501.0546272919.

The spelling of 125792640 in words is "one hundred twenty-five million, seven hundred ninety-two thousand, six hundred forty".