115364160 has 168 divisors, whose sum is σ = 406898856. Its totient is φ = 29982720.

The previous prime is 115364131. The next prime is 115364173. The reversal of 115364160 is 61463511.

115364160 is a `hidden beast` number, since 1 + 15 + 3 + 641 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10342656 + 105021504 = 3216^2 + 10248^2 .

It is a congruent number.

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, 117592 + ... + 118568.

It is an arithmetic number, because the mean of its divisors is an integer number (2422017).

Almost surely, 2^115364160 is an apocalyptic number.

115364160 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 115364160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203449428).

115364160 is an abundant number, since it is smaller than the sum of its proper divisors (291534696).

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

115364160 is a wasteful number, since it uses less digits than its factorization.

115364160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1041 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 115364160 is about 10740.7709220521. The cubic root of 115364160 is about 486.8071736248.

The spelling of 115364160 in words is "one hundred fifteen million, three hundred sixty-four thousand, one hundred sixty".