113715936 has 144 divisors (see below), whose sum is σ = 342171648. Its totient is φ = 35769600.

The previous prime is 113715929. The next prime is 113715947. The reversal of 113715936 is 639517311.

It is a tau number, because it is divible by the number of its divisors (144).

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 113715936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 419481 + ... + 419751.

It is an arithmetic number, because the mean of its divisors is an integer number (2376192).

Almost surely, 2^113715936 is an apocalyptic number.

113715936 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 113715936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171085824).

113715936 is an abundant number, since it is smaller than the sum of its proper divisors (228455712).

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

113715936 is a wasteful number, since it uses less digits than its factorization.

113715936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 354 counting only the distinct ones).

The product of its digits is 17010, while the sum is 36.

The square root of 113715936 is about 10663.7674393246. The cubic root of 113715936 is about 484.4776833488.

The spelling of 113715936 in words is "one hundred thirteen million, seven hundred fifteen thousand, nine hundred thirty-six".