128115360 has 72 divisors (see below), whose sum is σ = 437198580. Its totient is φ = 34163712.

The previous prime is 128115331. The next prime is 128115367. The reversal of 128115360 is 63511821.

128115360 is a `hidden beast` number, since 128 + 1 + 1 + 536 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128051856 + 63504 = 11316^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (128115367) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43045 + ... + 45924.

Almost surely, 2^128115360 is an apocalyptic number.

128115360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

128115360 is an abundant number, since it is smaller than the sum of its proper divisors (309083220).

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

128115360 is a wasteful number, since it uses less digits than its factorization.

128115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88990 (or 88979 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 128115360 is about 11318.8055906973. The cubic root of 128115360 is about 504.1197750103.

It can be divided in two parts, 1281 and 15360, that added together give a square (16641 = 129²).

The spelling of 128115360 in words is "one hundred twenty-eight million, one hundred fifteen thousand, three hundred sixty".