125160822528 has 864 divisors, whose sum is σ = 437532426240. Its totient is φ = 30981242880.

The previous prime is 125160822461. The next prime is 125160822581. The reversal of 125160822528 is 825228061521.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 125160822528.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2662996201 + ... + 2662996247.

Almost surely, 2^125160822528 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 125160822528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218766213120).

125160822528 is an abundant number, since it is smaller than the sum of its proper divisors (312371603712).

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

125160822528 is a wasteful number, since it uses less digits than its factorization.

125160822528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 42.

The spelling of 125160822528 in words is "one hundred twenty-five billion, one hundred sixty million, eight hundred twenty-two thousand, five hundred twenty-eight".