113482800 has 180 divisors, whose sum is σ = 407771520. Its totient is φ = 29191680.

The previous prime is 113482757. The next prime is 113482813. The reversal of 113482800 is 8284311.

It is a tau number, because it is divible by the number of its divisors (180).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103857 + ... + 104943.

Almost surely, 2^113482800 is an apocalyptic number.

113482800 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 113482800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203885760).

113482800 is an abundant number, since it is smaller than the sum of its proper divisors (294288720).

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

113482800 is a wasteful number, since it uses less digits than its factorization.

113482800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 113482800 is about 10652.8306097488. The cubic root of 113482800 is about 484.1463710478.

The spelling of 113482800 in words is "one hundred thirteen million, four hundred eighty-two thousand, eight hundred".