113186077920 has 192 divisors, whose sum is σ = 399272509440. Its totient is φ = 29945147904.

The previous prime is 113186077903. The next prime is 113186077931. The reversal of 113186077920 is 29770681311.

113186077920 is a `hidden beast` number, since 1 + 1 + 3 + 18 + 607 + 7 + 9 + 20 = 666.

It is a super-2 number, since 2×113186077920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 445489 + ... + 651791.

It is an arithmetic number, because the mean of its divisors is an integer number (2079544320).

Almost surely, 2^113186077920 is an apocalyptic number.

113186077920 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 113186077920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199636254720).

113186077920 is an abundant number, since it is smaller than the sum of its proper divisors (286086431520).

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

113186077920 is a wasteful number, since it uses less digits than its factorization.

113186077920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206454 (or 206440 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 113186077920 in words is "one hundred thirteen billion, one hundred eighty-six million, seventy-seven thousand, nine hundred twenty".