113536384 has 96 divisors (see below), whose sum is σ = 255240720. Its totient is φ = 49996800.

The previous prime is 113536369. The next prime is 113536393. The reversal of 113536384 is 483635311.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

Its product of digits (25920) is a multiple of the sum of its prime factors (160).

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 11 ways as a sum of consecutive naturals, for example, 1599069 + ... + 1599139.

Almost surely, 2^113536384 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 113536384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127620360).

113536384 is an abundant number, since it is smaller than the sum of its proper divisors (141704336).

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

113536384 is an equidigital number, since it uses as much as digits as its factorization.

113536384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 117 counting only the distinct ones).

The product of its digits is 25920, while the sum is 34.

The square root of 113536384 is about 10655.3453252347. The cubic root of 113536384 is about 484.2225600299. Note that the first 3 decimals are identical.

The spelling of 113536384 in words is "one hundred thirteen million, five hundred thirty-six thousand, three hundred eighty-four".