125315568 has 240 divisors, whose sum is σ = 434543616. Its totient is φ = 32901120.

The previous prime is 125315543. The next prime is 125315579. The reversal of 125315568 is 865513521.

It is a happy number.

125315568 is a `hidden beast` number, since 12 + 531 + 55 + 68 = 666.

It is a super-3 number, since 3×125315568³ (a number of 25 digits) contains 333 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1216605 + ... + 1216707.

Almost surely, 2^125315568 is an apocalyptic number.

125315568 is a gapful number since it is divisible by the number (18) 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 125315568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217271808).

125315568 is an abundant number, since it is smaller than the sum of its proper divisors (309228048).

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

125315568 is a wasteful number, since it uses less digits than its factorization.

125315568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 203 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 125315568 is about 11194.4436217259. The cubic root of 125315568 is about 500.4204037556.

The spelling of 125315568 in words is "one hundred twenty-five million, three hundred fifteen thousand, five hundred sixty-eight".