113256000 has 504 divisors, whose sum is σ = 479569272. Its totient is φ = 25344000.

The previous prime is 113255999. The next prime is 113256053. The reversal of 113256000 is 652311.

It can be written as a sum of positive squares in 4 ways, for example, as 17842176 + 95413824 = 4224^2 + 9768^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 8711994 + ... + 8712006.

Almost surely, 2^113256000 is an apocalyptic number.

113256000 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 113256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239784636).

113256000 is an abundant number, since it is smaller than the sum of its proper divisors (366313272).

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

113256000 is a wasteful number, since it uses less digits than its factorization.

113256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113256000 is about 10642.1802277541. The cubic root of 113256000 is about 483.8236271964.

The spelling of 113256000 in words is "one hundred thirteen million, two hundred fifty-six thousand".