113386000 has 240 divisors, whose sum is σ = 347321520. Its totient is φ = 35481600.

The previous prime is 113385983. The next prime is 113386061. The reversal of 113386000 is 683311.

It can be written as a sum of positive squares in 8 ways, for example, as 76807696 + 36578304 = 8764^2 + 6048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1273956 + ... + 1274044.

It is an arithmetic number, because the mean of its divisors is an integer number (1447173).

Almost surely, 2^113386000 is an apocalyptic number.

113386000 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 113386000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173660760).

113386000 is an abundant number, since it is smaller than the sum of its proper divisors (233935520).

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

113386000 is a wasteful number, since it uses less digits than its factorization.

113386000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 113386000 is about 10648.2862470916. The cubic root of 113386000 is about 484.0086741154.

The spelling of 113386000 in words is "one hundred thirteen million, three hundred eighty-six thousand".