125853624 has 72 divisors (see below), whose sum is σ = 369125640. Its totient is φ = 38720448.

The previous prime is 125853619. The next prime is 125853643. The reversal of 125853624 is 426358521.

125853624 is a `hidden beast` number, since 1 + 25 + 8 + 5 + 3 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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, 6997 + ... + 17339.

It is an arithmetic number, because the mean of its divisors is an integer number (5126745).

Almost surely, 2^125853624 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 125853624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184562820).

125853624 is an abundant number, since it is smaller than the sum of its proper divisors (243272016).

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

125853624 is a wasteful number, since it uses less digits than its factorization.

125853624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10381 (or 10361 counting only the distinct ones).

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

The square root of 125853624 is about 11218.4501603385. The cubic root of 125853624 is about 501.1355842775.

The spelling of 125853624 in words is "one hundred twenty-five million, eight hundred fifty-three thousand, six hundred twenty-four".