113455200 has 144 divisors (see below), whose sum is σ = 378632016. Its totient is φ = 29491200.

The previous prime is 113455183. The next prime is 113455201. The reversal of 113455200 is 2554311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113455201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97824 + ... + 98976.

It is an arithmetic number, because the mean of its divisors is an integer number (2629389).

Almost surely, 2^113455200 is an apocalyptic number.

113455200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

113455200 is the 6150-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189316008).

113455200 is an abundant number, since it is smaller than the sum of its proper divisors (265176816).

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

113455200 is a wasteful number, since it uses less digits than its factorization.

113455200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1217 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 113455200 is about 10651.5351006322. The cubic root of 113455200 is about 484.1071183350.

The spelling of 113455200 in words is "one hundred thirteen million, four hundred fifty-five thousand, two hundred".