115161120 has 72 divisors (see below), whose sum is σ = 392992236. Its totient is φ = 30709248.

The previous prime is 115161091. The next prime is 115161149. The reversal of 115161120 is 21161511.

It is a happy number.

115161120 is a `hidden beast` number, since 1 + 1 + 51 + 611 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115161091) and next prime (115161149).

It can be written as a sum of positive squares in 2 ways, for example, as 113806224 + 1354896 = 10668^2 + 1164^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 115161093 and 115161102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38547 + ... + 41426.

Almost surely, 2^115161120 is an apocalyptic number.

115161120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115161120 is an abundant number, since it is smaller than the sum of its proper divisors (277831116).

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

115161120 is a wasteful number, since it uses less digits than its factorization.

115161120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79994 (or 79983 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 115161120 is about 10731.3149240902. The cubic root of 115161120 is about 486.5214136685.

The spelling of 115161120 in words is "one hundred fifteen million, one hundred sixty-one thousand, one hundred twenty".