113867136 has 96 divisors (see below), whose sum is σ = 331367400. Its totient is φ = 37527552.

The previous prime is 113867111. The next prime is 113867179. The reversal of 113867136 is 631768311.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 113867136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111235 + ... + 112253.

Almost surely, 2^113867136 is an apocalyptic number.

113867136 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 113867136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165683700).

113867136 is an abundant number, since it is smaller than the sum of its proper divisors (217500264).

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

113867136 is a wasteful number, since it uses less digits than its factorization.

113867136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1121 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113867136 is about 10670.8545112376. The cubic root of 113867136 is about 484.6923134344.

It can be divided in two parts, 113867 and 136, that added together give a triangular number (114003 = T₄₇₇).

The spelling of 113867136 in words is "one hundred thirteen million, eight hundred sixty-seven thousand, one hundred thirty-six".