128074515625 has 63 divisors (see below), whose sum is σ = 186684856497. Its totient is φ = 87607800000.

The previous prime is 128074515617. The next prime is 128074515637. The reversal of 128074515625 is 526515470821.

The square root of 128074515625 is 357875.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 127583981721 + 490533904 = 357189^2 + 22148^2 .

It is not a de Polignac number, because 128074515625 - 2³ = 128074515617 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 313140421 + ... + 313140829.

Almost surely, 2^128074515625 is an apocalyptic number.

128074515625 is the 357875-th square number.

128074515625 is the 178938-th centered octagonal number.

It is an amenable number.

128074515625 is a deficient number, since it is larger than the sum of its proper divisors (58610340872).

128074515625 is an frugal number, since it uses more digits than its factorization.

128074515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 46.

The spelling of 128074515625 in words is "one hundred twenty-eight billion, seventy-four million, five hundred fifteen thousand, six hundred twenty-five".