125075328 has 256 divisors, whose sum is σ = 417792000. Its totient is φ = 32348160.

The previous prime is 125075323. The next prime is 125075329. The reversal of 125075328 is 823570521.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125075323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1583193 + ... + 1583271.

It is an arithmetic number, because the mean of its divisors is an integer number (1632000).

Almost surely, 2^125075328 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 125075328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208896000).

125075328 is an abundant number, since it is smaller than the sum of its proper divisors (292716672).

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

125075328 is a wasteful number, since it uses less digits than its factorization.

125075328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 125075328 is about 11183.7081506985. The cubic root of 125075328 is about 500.1004171648.

The spelling of 125075328 in words is "one hundred twenty-five million, seventy-five thousand, three hundred twenty-eight".