125538624 has 84 divisors (see below), whose sum is σ = 378805440. Its totient is φ = 39640320.

The previous prime is 125538619. The next prime is 125538631. The reversal of 125538624 is 426835521.

125538624 = 216² + 217² + ... + 728².

125538624 is a `hidden beast` number, since 1 + 2 + 553 + 86 + 24 = 666.

It is a super-2 number, since 2×125538624² = 31519892231626752, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5209 + ... + 16679.

Almost surely, 2^125538624 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 125538624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189402720).

125538624 is an abundant number, since it is smaller than the sum of its proper divisors (253266816).

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

125538624 is a wasteful number, since it uses less digits than its factorization.

125538624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11508 (or 11495 counting only the distinct ones).

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

The square root of 125538624 is about 11204.4019920744. The cubic root of 125538624 is about 500.7171362727.

The spelling of 125538624 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, six hundred twenty-four".