125744256 has 96 divisors (see below), whose sum is σ = 394776720. Its totient is φ = 38100480.

The previous prime is 125744251. The next prime is 125744287. The reversal of 125744256 is 652447521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 125744256.

It is not an unprimeable number, because it can be changed into a prime (125744251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7711 + ... + 17633.

Almost surely, 2^125744256 is an apocalyptic number.

125744256 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 125744256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197388360).

125744256 is an abundant number, since it is smaller than the sum of its proper divisors (269032464).

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

125744256 is a wasteful number, since it uses less digits than its factorization.

125744256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9954 (or 9939 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 125744256 is about 11213.5746307768. The cubic root of 125744256 is about 500.9903783396.

The spelling of 125744256 in words is "one hundred twenty-five million, seven hundred forty-four thousand, two hundred fifty-six".