113131740960 has 864 divisors, whose sum is σ = 476901577152. Its totient is φ = 25239029760.

The previous prime is 113131740959. The next prime is 113131740979. The reversal of 113131740960 is 69047131311.

113131740960 is a `hidden beast` number, since 113 + 131 + 7 + 409 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 81919470 + ... + 81920850.

It is an arithmetic number, because the mean of its divisors is an integer number (551969418).

Almost surely, 2^113131740960 is an apocalyptic number.

113131740960 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 113131740960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238450788576).

113131740960 is an abundant number, since it is smaller than the sum of its proper divisors (363769836192).

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

113131740960 is a wasteful number, since it uses less digits than its factorization.

113131740960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1468 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 113131740960 in words is "one hundred thirteen billion, one hundred thirty-one million, seven hundred forty thousand, nine hundred sixty".