113530800 has 120 divisors (see below), whose sum is σ = 373652176. Its totient is φ = 29445120.

The previous prime is 113530787. The next prime is 113530847. The reversal of 113530800 is 8035311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 43122 + ... + 45678.

Almost surely, 2^113530800 is an apocalyptic number.

113530800 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 113530800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186826088).

113530800 is an abundant number, since it is smaller than the sum of its proper divisors (260121376).

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

113530800 is a wasteful number, since it uses less digits than its factorization.

113530800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2615 (or 2604 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 113530800 is about 10655.0832939025. The cubic root of 113530800 is about 484.2146214790.

The spelling of 113530800 in words is "one hundred thirteen million, five hundred thirty thousand, eight hundred".