113296000 has 128 divisors (see below), whose sum is σ = 288484560. Its totient is φ = 44236800.

The previous prime is 113295977. The next prime is 113296003. The reversal of 113296000 is 692311.

It can be written as a sum of positive squares in 8 ways, for example, as 3968064 + 109327936 = 1992^2 + 10456^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (113296003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1167952 + ... + 1168048.

Almost surely, 2^113296000 is an apocalyptic number.

113296000 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 113296000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144242280).

113296000 is an abundant number, since it is smaller than the sum of its proper divisors (175188560).

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

113296000 is an frugal number, since it uses more digits than its factorization.

113296000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

The square root of 113296000 is about 10644.0593760088. The cubic root of 113296000 is about 483.8805797852.

The spelling of 113296000 in words is "one hundred thirteen million, two hundred ninety-six thousand".