113506324136172 has 144 divisors (see below), whose sum is σ = 318599240319360. Its totient is φ = 33781875052800.

The previous prime is 113506324136171. The next prime is 113506324136207. The reversal of 113506324136172 is 271631423605311.

113506324136172 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 0 + 6 + 3 + 24 + 1 + 3 + 617 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (113506324136171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23263648 + ... + 27716600.

It is an arithmetic number, because the mean of its divisors is an integer number (2212494724440).

Almost surely, 2^{113506324136172} is an apocalyptic number.

113506324136172 is a gapful number since it is divisible by the number (12) 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 113506324136172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159299620159680).

113506324136172 is an abundant number, since it is smaller than the sum of its proper divisors (205092916183188).

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

113506324136172 is a wasteful number, since it uses less digits than its factorization.

113506324136172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4454124 (or 4454119 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 113506324136172 in words is "one hundred thirteen trillion, five hundred six billion, three hundred twenty-four million, one hundred thirty-six thousand, one hundred seventy-two".