125738640 has 60 divisors (see below), whose sum is σ = 422274684. Its totient is φ = 33530112.

The previous prime is 125738623. The next prime is 125738653. The reversal of 125738640 is 46837521.

125738640 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 3 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73205136 + 52533504 = 8556^2 + 7248^2 .

It is a tau number, because it is divible by the number of its divisors (60).

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 = 125738595 and 125738604.

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, 86599 + ... + 88038.

Almost surely, 2^125738640 is an apocalyptic number.

125738640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125738640 is an abundant number, since it is smaller than the sum of its proper divisors (296536044).

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

125738640 is a wasteful number, since it uses less digits than its factorization.

125738640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174656 (or 174647 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 125738640 is about 11213.3242171980. The cubic root of 125738640 is about 500.9829198045.

The spelling of 125738640 in words is "one hundred twenty-five million, seven hundred thirty-eight thousand, six hundred forty".