113200160256 has 320 divisors, whose sum is σ = 348127718400. Its totient is φ = 36292313088.

The previous prime is 113200160237. The next prime is 113200160459. The reversal of 113200160256 is 652061002311.

113200160256 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 0 + 0 + 1 + 602 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38332476 + ... + 38335428.

It is an arithmetic number, because the mean of its divisors is an integer number (1087899120).

Almost surely, 2^113200160256 is an apocalyptic number.

113200160256 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 113200160256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174063859200).

113200160256 is an abundant number, since it is smaller than the sum of its proper divisors (234927558144).

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

113200160256 is an equidigital number, since it uses as much as digits as its factorization.

113200160256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3086 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 113200160256 its reverse (652061002311), we get a palindrome (765261162567).

The spelling of 113200160256 in words is "one hundred thirteen billion, two hundred million, one hundred sixty thousand, two hundred fifty-six".