125693568 has 384 divisors, whose sum is σ = 490089600. Its totient is φ = 29859840.

The previous prime is 125693549. The next prime is 125693573. The reversal of 125693568 is 865396521.

125693568 is a `hidden beast` number, since 1 + 25 + 69 + 3 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

Its product of digits (388800) is a multiple of the sum of its prime factors (160).

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, 1153098 + ... + 1153206.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 2^125693568 is an apocalyptic number.

125693568 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 125693568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245044800).

125693568 is an abundant number, since it is smaller than the sum of its proper divisors (364396032).

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

125693568 is a wasteful number, since it uses less digits than its factorization.

125693568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 145 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 125693568 is about 11211.3142851318. The cubic root of 125693568 is about 500.9230522339.

The spelling of 125693568 in words is "one hundred twenty-five million, six hundred ninety-three thousand, five hundred sixty-eight".