125624916 has 54 divisors (see below), whose sum is σ = 326494350. Its totient is φ = 40727232.

The previous prime is 125624909. The next prime is 125624921. The reversal of 125624916 is 619426521.

125624916 is a `hidden beast` number, since 1 + 2 + 562 + 4 + 91 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 99920016 + 25704900 = 9996^2 + 5070^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 48010 + ... + 50558.

Almost surely, 2^125624916 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 125624916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163247175).

125624916 is an abundant number, since it is smaller than the sum of its proper divisors (200869434).

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

125624916 is a wasteful number, since it uses less digits than its factorization.

125624916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2591 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 125624916 is about 11208.2521384915. The cubic root of 125624916 is about 500.8318366614.

The spelling of 125624916 in words is "one hundred twenty-five million, six hundred twenty-four thousand, nine hundred sixteen".