113614164 has 72 divisors (see below), whose sum is σ = 299950560. Its totient is φ = 37602144.

The previous prime is 113614133. The next prime is 113614169. The reversal of 113614164 is 461416311.

It is a super-2 number, since 2×113614164² = 25816356522837792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113614169) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 173662 + ... + 174314.

It is an arithmetic number, because the mean of its divisors is an integer number (4165980).

Almost surely, 2^113614164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113614164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149975280).

113614164 is an abundant number, since it is smaller than the sum of its proper divisors (186336396).

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

113614164 is a wasteful number, since it uses less digits than its factorization.

113614164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 837 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 113614164 is about 10658.9945116789. The cubic root of 113614164 is about 484.3331097120. Note that the first 3 decimals are identical.

The spelling of 113614164 in words is "one hundred thirteen million, six hundred fourteen thousand, one hundred sixty-four".