125813128 has 96 divisors (see below), whose sum is σ = 293045760. Its totient is φ = 49547520.

The previous prime is 125813113. The next prime is 125813131. The reversal of 125813128 is 821318521.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a self number, because there is not a number n which added to its sum of digits gives 125813128.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918276 + ... + 918412.

It is an arithmetic number, because the mean of its divisors is an integer number (3052560).

Almost surely, 2^125813128 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 125813128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146522880).

125813128 is an abundant number, since it is smaller than the sum of its proper divisors (167232632).

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

125813128 is a wasteful number, since it uses less digits than its factorization.

125813128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 200 counting only the distinct ones).

The product of its digits is 3840, while the sum is 31.

The square root of 125813128 is about 11216.6451312324. The cubic root of 125813128 is about 501.0818282737.

The spelling of 125813128 in words is "one hundred twenty-five million, eight hundred thirteen thousand, one hundred twenty-eight".