125656944 has 160 divisors (see below), whose sum is σ = 387594240. Its totient is φ = 34338816.

The previous prime is 125656939. The next prime is 125656967. The reversal of 125656944 is 449656521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 125656896 and 125656905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1152762 + ... + 1152870.

It is an arithmetic number, because the mean of its divisors is an integer number (2422464).

Almost surely, 2^125656944 is an apocalyptic number.

125656944 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 125656944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193797120).

125656944 is an abundant number, since it is smaller than the sum of its proper divisors (261937296).

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

125656944 is a wasteful number, since it uses less digits than its factorization.

125656944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The square root of 125656944 is about 11209.6808161517. The cubic root of 125656944 is about 500.8743953076.

The spelling of 125656944 in words is "one hundred twenty-five million, six hundred fifty-six thousand, nine hundred forty-four".