113636736 has 128 divisors (see below), whose sum is σ = 339292800. Its totient is φ = 37440000.

The previous prime is 113636729. The next prime is 113636749. The reversal of 113636736 is 637636311.

113636736 is a `hidden beast` number, since 1 + 13 + 636 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 113636736.

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 15 ways as a sum of consecutive naturals, for example, 452611 + ... + 452861.

It is an arithmetic number, because the mean of its divisors is an integer number (2650725).

Almost surely, 2^113636736 is an apocalyptic number.

113636736 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 113636736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169646400).

113636736 is an abundant number, since it is smaller than the sum of its proper divisors (225656064).

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

113636736 is a wasteful number, since it uses less digits than its factorization.

113636736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 387 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 113636736 is about 10660.0532831689. The cubic root of 113636736 is about 484.3651821305.

The spelling of 113636736 in words is "one hundred thirteen million, six hundred thirty-six thousand, seven hundred thirty-six".