125933724 has 144 divisors (see below), whose sum is σ = 387828000. Its totient is φ = 35223552.

The previous prime is 125933719. The next prime is 125933761. The reversal of 125933724 is 427339521.

125933724 is a `hidden beast` number, since 12 + 593 + 37 + 24 = 666.

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 47 ways as a sum of consecutive naturals, for example, 280252 + ... + 280700.

It is an arithmetic number, because the mean of its divisors is an integer number (2693250).

Almost surely, 2^125933724 is an apocalyptic number.

125933724 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125933724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914000).

125933724 is an abundant number, since it is smaller than the sum of its proper divisors (261894276).

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

125933724 is a wasteful number, since it uses less digits than its factorization.

125933724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 514 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 125933724 is about 11222.0196043315. The cubic root of 125933724 is about 501.2418782564.

The spelling of 125933724 in words is "one hundred twenty-five million, nine hundred thirty-three thousand, seven hundred twenty-four".