125924544 has 98 divisors (see below), whose sum is σ = 374789700. Its totient is φ = 41959296.

The previous prime is 125924543. The next prime is 125924551. The reversal of 125924544 is 445429521.

It is a happy number.

125924544 is a `hidden beast` number, since 1 + 25 + 92 + 4 + 544 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125924499 and 125924508.

It is not an unprimeable number, because it can be changed into a prime (125924543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45307 + ... + 48005.

Almost surely, 2^125924544 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 125924544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187394850).

125924544 is an abundant number, since it is smaller than the sum of its proper divisors (248865156).

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

125924544 is an frugal number, since it uses more digits than its factorization.

125924544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729 (or 2704 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 125924544 is about 11221.6105795915. The cubic root of 125924544 is about 501.2296985370.

The spelling of 125924544 in words is "one hundred twenty-five million, nine hundred twenty-four thousand, five hundred forty-four".