115517120 has 56 divisors (see below), whose sum is σ = 276020784. Its totient is φ = 46048256.

The previous prime is 115517119. The next prime is 115517137. The reversal of 115517120 is 21715511.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 149054 + ... + 149826.

Almost surely, 2^115517120 is an apocalyptic number.

115517120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138010392).

115517120 is an abundant number, since it is smaller than the sum of its proper divisors (160503664).

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

115517120 is an equidigital number, since it uses as much as digits as its factorization.

115517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 23.

The square root of 115517120 is about 10747.8890950735. The cubic root of 115517120 is about 487.0222292656.

The spelling of 115517120 in words is "one hundred fifteen million, five hundred seventeen thousand, one hundred twenty".