125596768 has 48 divisors (see below), whose sum is σ = 270663120. Its totient is φ = 56896000.

The previous prime is 125596763. The next prime is 125596769. The reversal of 125596768 is 867695521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125596763) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178818 + ... + 179518.

It is an arithmetic number, because the mean of its divisors is an integer number (5638815).

Almost surely, 2^125596768 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 125596768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331560).

125596768 is an abundant number, since it is smaller than the sum of its proper divisors (145066352).

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

125596768 is a wasteful number, since it uses less digits than its factorization.

125596768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1223 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 125596768 is about 11206.9963861866. The cubic root of 125596768 is about 500.7944277672.

The spelling of 125596768 in words is "one hundred twenty-five million, five hundred ninety-six thousand, seven hundred sixty-eight".