113672732160 has 320 divisors, whose sum is σ = 394214768640. Its totient is φ = 27776286720.

The previous prime is 113672732149. The next prime is 113672732167. The reversal of 113672732160 is 61237276311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113672732167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13873665 + ... + 13881855.

It is an arithmetic number, because the mean of its divisors is an integer number (1231921152).

Almost surely, 2^113672732160 is an apocalyptic number.

113672732160 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 113672732160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197107384320).

113672732160 is an abundant number, since it is smaller than the sum of its proper divisors (280542036480).

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

113672732160 is a wasteful number, since it uses less digits than its factorization.

113672732160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8369 (or 8353 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 113672732160 in words is "one hundred thirteen billion, six hundred seventy-two million, seven hundred thirty-two thousand, one hundred sixty".