113437900800 has 918 divisors, whose sum is σ = 475711446678. Its totient is φ = 25763512320.

The previous prime is 113437900783. The next prime is 113437900811. The reversal of 113437900800 is 8009734311.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2341011456 + 111096889344 = 48384^2 + 333312^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 722534322 + ... + 722534478.

Almost surely, 2^113437900800 is an apocalyptic number.

113437900800 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 113437900800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237855723339).

113437900800 is an abundant number, since it is smaller than the sum of its proper divisors (362273545878).

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

113437900800 is an equidigital number, since it uses as much as digits as its factorization.

113437900800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 113437900800 in words is "one hundred thirteen billion, four hundred thirty-seven million, nine hundred thousand, eight hundred".