128255625 has 45 divisors (see below), whose sum is σ = 233041809. Its totient is φ = 67950000.

The previous prime is 128255591. The next prime is 128255639. The reversal of 128255625 is 526552821.

128255625 = 1³ + 2³ + ... + 150³.

It is a happy number.

The square root of 128255625 is 11325.

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

128255625 is a `hidden beast` number, since 1 + 2 + 8 + 25 + 5 + 625 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10055241 + 118200384 = 3171^2 + 10872^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 128255625 - 2¹³ = 128247433 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 128255625.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 849300 + ... + 849450.

Almost surely, 2^128255625 is an apocalyptic number.

128255625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

128255625 is the 11325-th square number.

128255625 is the 5663-rd centered octagonal number.

It is an amenable number.

128255625 is a deficient number, since it is larger than the sum of its proper divisors (104786184).

128255625 is an frugal number, since it uses more digits than its factorization.

128255625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 159 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The cubic root of 128255625 is about 504.3036836651.

Multiplying 128255625 by its sum of digits (36), we get a square (4617202500 = 67950²).

The spelling of 128255625 in words is "one hundred twenty-eight million, two hundred fifty-five thousand, six hundred twenty-five".