113132124120456 has 192 divisors, whose sum is σ = 370866539796480. Its totient is φ = 31635730578240.

The previous prime is 113132124120437. The next prime is 113132124120577. The reversal of 113132124120456 is 654021421231311.

113132124120456 is a `hidden beast` number, since 1 + 1 + 3 + 132 + 12 + 41 + 20 + 456 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 113132124120456.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 87803490 + ... + 89082641.

It is an arithmetic number, because the mean of its divisors is an integer number (1931596561440).

Almost surely, 2^{113132124120456} is an apocalyptic number.

It is an amenable number.

113132124120456 is an abundant number, since it is smaller than the sum of its proper divisors (257734415676024).

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

113132124120456 is a wasteful number, since it uses less digits than its factorization.

113132124120456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176886206 (or 176886190 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 113132124120456 its reverse (654021421231311), we get a palindrome (767153545351767).

The spelling of 113132124120456 in words is "one hundred thirteen trillion, one hundred thirty-two billion, one hundred twenty-four million, one hundred twenty thousand, four hundred fifty-six".