113437159200 has 864 divisors, whose sum is σ = 453930946560. Its totient is φ = 26504755200.

The previous prime is 113437159159. The next prime is 113437159237. The reversal of 113437159200 is 2951734311.

113437159200 is a `hidden beast` number, since 1 + 1 + 3 + 437 + 15 + 9 + 200 = 666.

It is a super-2 number, since 2×113437159200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 97537819 + ... + 97538981.

It is an arithmetic number, because the mean of its divisors is an integer number (525383040).

Almost surely, 2^113437159200 is an apocalyptic number.

113437159200 is a gapful number since it is divisible by the number (10) 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 113437159200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226965473280).

113437159200 is an abundant number, since it is smaller than the sum of its proper divisors (340493787360).

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

113437159200 is a wasteful number, since it uses less digits than its factorization.

113437159200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 113437159200 in words is "one hundred thirteen billion, four hundred thirty-seven million, one hundred fifty-nine thousand, two hundred".