125752457664 has 448 divisors, whose sum is σ = 405624913920. Its totient is φ = 38041436160.

The previous prime is 125752457653. The next prime is 125752457737. The reversal of 125752457664 is 466754257521.

125752457664 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 5 + 2 + 4 + 576 + 64 = 666.

It is a super-2 number, since 2×125752457664² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 125752457664.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138037369 + ... + 138038279.

Almost surely, 2^125752457664 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 125752457664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202812456960).

125752457664 is an abundant number, since it is smaller than the sum of its proper divisors (279872456256).

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

125752457664 is a wasteful number, since it uses less digits than its factorization.

125752457664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113 (or 1097 counting only the distinct ones).

The product of its digits is 14112000, while the sum is 54.

The spelling of 125752457664 in words is "one hundred twenty-five billion, seven hundred fifty-two million, four hundred fifty-seven thousand, six hundred sixty-four".