113288000 has 252 divisors, whose sum is σ = 346690188. Its totient is φ = 36556800.

The previous prime is 113287973. The next prime is 113288003. The reversal of 113288000 is 882311.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 10549504 + 102738496 = 3248^2 + 10136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113288003) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6663992 + ... + 6664008.

Almost surely, 2^113288000 is an apocalyptic number.

113288000 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 113288000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173345094).

113288000 is an abundant number, since it is smaller than the sum of its proper divisors (233402188).

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

113288000 is an equidigital number, since it uses as much as digits as its factorization.

113288000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 113288000 is about 10643.6835728990. The cubic root of 113288000 is about 483.8691903399.

The spelling of 113288000 in words is "one hundred thirteen million, two hundred eighty-eight thousand".