125057128 has 48 divisors (see below), whose sum is σ = 272420640. Its totient is φ = 52721760.

The previous prime is 125057123. The next prime is 125057147. The reversal of 125057128 is 821750521.

It is a self number, because there is not a number n which added to its sum of digits gives 125057128.

It is not an unprimeable number, because it can be changed into a prime (125057123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 282075 + ... + 282517.

It is an arithmetic number, because the mean of its divisors is an integer number (5675430).

Almost surely, 2^125057128 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 125057128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136210320).

125057128 is an abundant number, since it is smaller than the sum of its proper divisors (147363512).

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

125057128 is an equidigital number, since it uses as much as digits as its factorization.

125057128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 598 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 125057128 is about 11182.8944374880. The cubic root of 125057128 is about 500.0761590657.

The spelling of 125057128 in words is "one hundred twenty-five million, fifty-seven thousand, one hundred twenty-eight".