125813128100 has 144 divisors (see below), whose sum is σ = 309932663040. Its totient is φ = 43927900800.

The previous prime is 125813128079. The next prime is 125813128139. The reversal of 125813128100 is 1821318521.

It is a super-2 number, since 2×125813128100² (a number of 23 digits) contains 22 as substring.

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, 2768159 + ... + 2813241.

It is an arithmetic number, because the mean of its divisors is an integer number (2152310160).

Almost surely, 2^125813128100 is an apocalyptic number.

125813128100 is a gapful number since it is divisible by the number (10) 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 125813128100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154966331520).

125813128100 is an abundant number, since it is smaller than the sum of its proper divisors (184119534940).

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

125813128100 is a wasteful number, since it uses less digits than its factorization.

125813128100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45210 (or 45203 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 32.

The spelling of 125813128100 in words is "one hundred twenty-five billion, eight hundred thirteen million, one hundred twenty-eight thousand, one hundred".