125648640 has 216 divisors, whose sum is σ = 468730080. Its totient is φ = 30892032.

The previous prime is 125648639. The next prime is 125648657. The reversal of 125648640 is 46846521.

125648640 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 4 + 8 + 640 = 666.

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 = 125648595 and 125648604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149341 + ... + 150179.

Almost surely, 2^125648640 is an apocalyptic number.

125648640 is a gapful number since it is divisible by the number (10) 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 125648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234365040).

125648640 is an abundant number, since it is smaller than the sum of its proper divisors (343081440).

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

125648640 is a wasteful number, since it uses less digits than its factorization.

125648640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 125648640 is about 11209.3104158998. The cubic root of 125648640 is about 500.8633616885.

The spelling of 125648640 in words is "one hundred twenty-five million, six hundred forty-eight thousand, six hundred forty".