113835180 has 48 divisors (see below), whose sum is σ = 321269760. Its totient is φ = 30115008.

The previous prime is 113835167. The next prime is 113835187. The reversal of 113835180 is 81538311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (113835187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151 + ... + 15089.

It is an arithmetic number, because the mean of its divisors is an integer number (6693120).

Almost surely, 2^113835180 is an apocalyptic number.

113835180 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 113835180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160634880).

113835180 is an abundant number, since it is smaller than the sum of its proper divisors (207434580).

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

113835180 is a wasteful number, since it uses less digits than its factorization.

113835180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15078 (or 15076 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 113835180 is about 10669.3570565428. The cubic root of 113835180 is about 484.6469673779.

The spelling of 113835180 in words is "one hundred thirteen million, eight hundred thirty-five thousand, one hundred eighty".