125726256 has 80 divisors (see below), whose sum is σ = 365437920. Its totient is φ = 41897088.

The previous prime is 125726239. The next prime is 125726291. The reversal of 125726256 is 652627521.

125726256 is a `hidden beast` number, since 1 + 25 + 7 + 2 + 625 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 125726256.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33196 + ... + 36788.

It is an arithmetic number, because the mean of its divisors is an integer number (4567974).

Almost surely, 2^125726256 is an apocalyptic number.

125726256 is a gapful number since it is divisible by the number (16) 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 125726256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182718960).

125726256 is an abundant number, since it is smaller than the sum of its proper divisors (239711664).

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

125726256 is an frugal number, since it uses more digits than its factorization.

125726256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3622 (or 3598 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 125726256 is about 11212.7720033897. The cubic root of 125726256 is about 500.9664719934.

The spelling of 125726256 in words is "one hundred twenty-five million, seven hundred twenty-six thousand, two hundred fifty-six".