113145732880 has 80 divisors (see below), whose sum is σ = 267522703344. Its totient is φ = 44491991040.

The previous prime is 113145732871. The next prime is 113145732901. The reversal of 113145732880 is 88237541311.

It can be written as a sum of positive squares in 8 ways, for example, as 1440050704 + 111705682176 = 37948^2 + 334224^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10794202 + ... + 10804678.

Almost surely, 2^113145732880 is an apocalyptic number.

113145732880 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 113145732880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133761351672).

113145732880 is an abundant number, since it is smaller than the sum of its proper divisors (154376970464).

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

113145732880 is a wasteful number, since it uses less digits than its factorization.

113145732880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12758 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 113145732880 in words is "one hundred thirteen billion, one hundred forty-five million, seven hundred thirty-two thousand, eight hundred eighty".