113517936 has 240 divisors, whose sum is σ = 389252864. Its totient is φ = 31352832.

The previous prime is 113517923. The next prime is 113517973. The reversal of 113517936 is 639715311.

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 113517936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170240 + ... + 1170336.

Almost surely, 2^113517936 is an apocalyptic number.

113517936 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 113517936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194626432).

113517936 is an abundant number, since it is smaller than the sum of its proper divisors (275734928).

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

113517936 is an equidigital number, since it uses as much as digits as its factorization.

113517936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 152 counting only the distinct ones).

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

The square root of 113517936 is about 10654.4796212673. The cubic root of 113517936 is about 484.1963322507.

The spelling of 113517936 in words is "one hundred thirteen million, five hundred seventeen thousand, nine hundred thirty-six".