113965056 has 144 divisors (see below), whose sum is σ = 342833400. Its totient is φ = 37822464.

The previous prime is 113965051. The next prime is 113965073. The reversal of 113965056 is 650569311.

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 nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 113965056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113965051) by changing a digit.

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, 497550 + ... + 497778.

Almost surely, 2^113965056 is an apocalyptic number.

113965056 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 113965056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171416700).

113965056 is an abundant number, since it is smaller than the sum of its proper divisors (228868344).

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

113965056 is an frugal number, since it uses more digits than its factorization.

113965056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 113965056 is about 10675.4417238820. The cubic root of 113965056 is about 484.8312106169.

The spelling of 113965056 in words is "one hundred thirteen million, nine hundred sixty-five thousand, fifty-six".