125956224 has 96 divisors (see below), whose sum is σ = 374250240. Its totient is φ = 40619520.

The previous prime is 125956199. The next prime is 125956261. The reversal of 125956224 is 422659521.

125956224 is a `hidden beast` number, since 1 + 2 + 595 + 62 + 2 + 4 = 666.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33949 + ... + 37475.

It is an arithmetic number, because the mean of its divisors is an integer number (3898440).

Almost surely, 2^125956224 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 125956224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

125956224 is an abundant number, since it is smaller than the sum of its proper divisors (248294016).

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

125956224 is a wasteful number, since it uses less digits than its factorization.

125956224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3563 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 125956224 is about 11223.0220529054. The cubic root of 125956224 is about 501.2717280067.

The spelling of 125956224 in words is "one hundred twenty-five million, nine hundred fifty-six thousand, two hundred twenty-four".