113835648 has 64 divisors (see below), whose sum is σ = 315547200. Its totient is φ = 36292608.

The previous prime is 113835637. The next prime is 113835653. The reversal of 113835648 is 846538311.

It is a tau number, because it is divible by the number of its divisors (64).

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 7 ways as a sum of consecutive naturals, for example, 2388 + ... + 15276.

It is an arithmetic number, because the mean of its divisors is an integer number (4930425).

Almost surely, 2^113835648 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 113835648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157773600).

113835648 is an abundant number, since it is smaller than the sum of its proper divisors (201711552).

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

113835648 is a wasteful number, since it uses less digits than its factorization.

113835648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12929 (or 12917 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 113835648 is about 10669.3789884885. The cubic root of 113835648 is about 484.6476315383.

The spelling of 113835648 in words is "one hundred thirteen million, eight hundred thirty-five thousand, six hundred forty-eight".