113995200 has 336 divisors, whose sum is σ = 435400704. Its totient is φ = 25804800.

The previous prime is 113995171. The next prime is 113995213. The reversal of 113995200 is 2599311.

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, 897537 + ... + 897663.

Almost surely, 2^113995200 is an apocalyptic number.

113995200 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 113995200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217700352).

113995200 is an abundant number, since it is smaller than the sum of its proper divisors (321405504).

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

113995200 is a wasteful number, since it uses less digits than its factorization.

113995200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 113995200 is about 10676.8534690704. The cubic root of 113995200 is about 484.8739531445.

The spelling of 113995200 in words is "one hundred thirteen million, nine hundred ninety-five thousand, two hundred".