113536080 has 200 divisors, whose sum is σ = 450840192. Its totient is φ = 25940736.

The previous prime is 113536079. The next prime is 113536099. The reversal of 113536080 is 80635311.

113536080 is a `hidden beast` number, since 1 + 1 + 3 + 53 + 608 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44109 + ... + 46611.

Almost surely, 2^113536080 is an apocalyptic number.

113536080 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 113536080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225420096).

113536080 is an abundant number, since it is smaller than the sum of its proper divisors (337304112).

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

113536080 is a wasteful number, since it uses less digits than its factorization.

113536080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 113536080 is about 10655.3310600844. The cubic root of 113536080 is about 484.2221278519. Note that the first 3 decimals are identical.

The spelling of 113536080 in words is "one hundred thirteen million, five hundred thirty-six thousand, eighty".