113816164 has 48 divisors (see below), whose sum is σ = 254411136. Its totient is φ = 43257600.

The previous prime is 113816161. The next prime is 113816177. The reversal of 113816164 is 461618311.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (113816161) 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, 8122 + ... + 17134.

It is an arithmetic number, because the mean of its divisors is an integer number (5300232).

Almost surely, 2^113816164 is an apocalyptic number.

113816164 is a gapful number since it is divisible by the number (14) 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 113816164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127205568).

113816164 is an abundant number, since it is smaller than the sum of its proper divisors (140594972).

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

113816164 is a wasteful number, since it uses less digits than its factorization.

113816164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9076 (or 9074 counting only the distinct ones).

The product of its digits is 3456, while the sum is 31.

The square root of 113816164 is about 10668.4658690929. The cubic root of 113816164 is about 484.6199793532.

The spelling of 113816164 in words is "one hundred thirteen million, eight hundred sixteen thousand, one hundred sixty-four".