113497200 has 300 divisors, whose sum is σ = 424193088. Its totient is φ = 29030400.

The previous prime is 113497199. The next prime is 113497201. The reversal of 113497200 is 2794311.

It is an interprime number because it is at equal distance from previous prime (113497199) and next prime (113497201).

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×113497200² = 25763228815680000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113497201) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 1004344 + ... + 1004456.

Almost surely, 2^113497200 is an apocalyptic number.

113497200 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 113497200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212096544).

113497200 is an abundant number, since it is smaller than the sum of its proper divisors (310695888).

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

113497200 is a wasteful number, since it uses less digits than its factorization.

113497200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 113497200 is about 10653.5064650095. The cubic root of 113497200 is about 484.1668481976.

The spelling of 113497200 in words is "one hundred thirteen million, four hundred ninety-seven thousand, two hundred".