113180146560 has 1536 divisors, whose sum is σ = 479975932800. Its totient is φ = 25225592832.

The previous prime is 113180146529. The next prime is 113180146603. The reversal of 113180146560 is 65641081311.

It is a happy number.

113180146560 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 80 + 14 + 6 + 560 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1271686996 + ... + 1271687084.

Almost surely, 2^113180146560 is an apocalyptic number.

113180146560 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 113180146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239987966400).

113180146560 is an abundant number, since it is smaller than the sum of its proper divisors (366795786240).

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

113180146560 is a wasteful number, since it uses less digits than its factorization.

113180146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 113180146560 in words is "one hundred thirteen billion, one hundred eighty million, one hundred forty-six thousand, five hundred sixty".