113248800 has 432 divisors, whose sum is σ = 480906720. Its totient is φ = 25643520.

The previous prime is 113248787. The next prime is 113248801. The reversal of 113248800 is 8842311.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is not an unprimeable number, because it can be changed into a prime (113248801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1058347 + ... + 1058453.

It is an arithmetic number, because the mean of its divisors is an integer number (1113210).

Almost surely, 2^113248800 is an apocalyptic number.

113248800 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 113248800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240453360).

113248800 is an abundant number, since it is smaller than the sum of its proper divisors (367657920).

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

113248800 is a wasteful number, since it uses less digits than its factorization.

113248800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

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

The square root of 113248800 is about 10641.8419458287. The cubic root of 113248800 is about 483.8133743064.

The spelling of 113248800 in words is "one hundred thirteen million, two hundred forty-eight thousand, eight hundred".