113797200 has 240 divisors, whose sum is σ = 410170176. Its totient is φ = 26726400.

The previous prime is 113797193. The next prime is 113797217. The reversal of 113797200 is 2797311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488284 + ... + 488516.

Almost surely, 2^113797200 is an apocalyptic number.

113797200 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 113797200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205085088).

113797200 is an abundant number, since it is smaller than the sum of its proper divisors (296372976).

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

113797200 is a wasteful number, since it uses less digits than its factorization.

113797200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 2646, while the sum is 30.

The square root of 113797200 is about 10667.5770444839. The cubic root of 113797200 is about 484.5930621344.

The spelling of 113797200 in words is "one hundred thirteen million, seven hundred ninety-seven thousand, two hundred".