115101461520 has 120 divisors (see below), whose sum is σ = 395977202712. Its totient is φ = 29945088000.

The previous prime is 115101461467. The next prime is 115101461539. The reversal of 115101461520 is 25164101511.

115101461520 is a `hidden beast` number, since 1 + 1 + 5 + 10 + 14 + 615 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3524084496 + 111577377024 = 59364^2 + 334032^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1920031 + ... + 1979070.

Almost surely, 2^115101461520 is an apocalyptic number.

115101461520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115101461520 is an abundant number, since it is smaller than the sum of its proper divisors (280875741192).

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

115101461520 is a wasteful number, since it uses less digits than its factorization.

115101461520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899161 (or 3899152 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The spelling of 115101461520 in words is "one hundred fifteen billion, one hundred one million, four hundred sixty-one thousand, five hundred twenty".