113349600 has 432 divisors, whose sum is σ = 494780832. Its totient is φ = 23777280.

The previous prime is 113349569. The next prime is 113349617. The reversal of 113349600 is 6943311.

113349600 is a `hidden beast` number, since 1 + 13 + 3 + 49 + 600 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655114 + ... + 655286.

It is an arithmetic number, because the mean of its divisors is an integer number (1145326).

Almost surely, 2^113349600 is an apocalyptic number.

113349600 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 113349600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247390416).

113349600 is an abundant number, since it is smaller than the sum of its proper divisors (381431232).

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

113349600 is a wasteful number, since it uses less digits than its factorization.

113349600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 113349600 is about 10646.5769146707. The cubic root of 113349600 is about 483.9568752415.

The spelling of 113349600 in words is "one hundred thirteen million, three hundred forty-nine thousand, six hundred".