115135605 has 48 divisors (see below), whose sum is σ = 217242480. Its totient is φ = 56070144.

The previous prime is 115135589. The next prime is 115135613. The reversal of 115135605 is 506531511.

115135605 is a `hidden beast` number, since 1 + 1 + 51 + 3 + 5 + 605 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 367236 + 114768369 = 606^2 + 10713^2 .

It is not a de Polignac number, because 115135605 - 2⁴ = 115135589 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55731 + ... + 57759.

It is an arithmetic number, because the mean of its divisors is an integer number (4525885).

Almost surely, 2^115135605 is an apocalyptic number.

115135605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

115135605 is a deficient number, since it is larger than the sum of its proper divisors (102106875).

115135605 is a wasteful number, since it uses less digits than its factorization.

115135605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150 (or 2147 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The square root of 115135605 is about 10730.1260477219. The cubic root of 115135605 is about 486.4854799241.

The spelling of 115135605 in words is "one hundred fifteen million, one hundred thirty-five thousand, six hundred five".