113842176 has 96 divisors (see below), whose sum is σ = 346993920. Its totient is φ = 32514048.

The previous prime is 113842159. The next prime is 113842231. The reversal of 113842176 is 671248311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41685 + ... + 44331.

It is an arithmetic number, because the mean of its divisors is an integer number (3614520).

Almost surely, 2^113842176 is an apocalyptic number.

113842176 is a gapful number since it is divisible by the number (16) 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 113842176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173496960).

113842176 is an abundant number, since it is smaller than the sum of its proper divisors (233151744).

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

113842176 is an equidigital number, since it uses as much as digits as its factorization.

113842176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2679 (or 2659 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 113842176 is about 10669.6849063128. The cubic root of 113842176 is about 484.6568955352.

The spelling of 113842176 in words is "one hundred thirteen million, eight hundred forty-two thousand, one hundred seventy-six".