125931728 has 40 divisors (see below), whose sum is σ = 264207048. Its totient is φ = 57802752.

The previous prime is 125931727. The next prime is 125931761. The reversal of 125931728 is 827139521.

It can be written as a sum of positive squares in 4 ways, for example, as 22543504 + 103388224 = 4748^2 + 10168^2 .

It is a junction number, because it is equal to n+sod(n) for n = 125931691 and 125931700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125931721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38576 + ... + 41712.

Almost surely, 2^125931728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125931728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132103524).

125931728 is an abundant number, since it is smaller than the sum of its proper divisors (138275320).

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

125931728 is a wasteful number, since it uses less digits than its factorization.

125931728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3345 counting only the distinct ones).

The product of its digits is 30240, while the sum is 38.

The square root of 125931728 is about 11221.9306716803. The cubic root of 125931728 is about 501.2392300802.

The spelling of 125931728 in words is "one hundred twenty-five million, nine hundred thirty-one thousand, seven hundred twenty-eight".