113506000 has 160 divisors (see below), whose sum is σ = 301766400. Its totient is φ = 41126400.

The previous prime is 113505983. The next prime is 113506009. The reversal of 113506000 is 605311.

It is a super-2 number, since 2×113506000² = 25767224072000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113506009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1101949 + ... + 1102051.

It is an arithmetic number, because the mean of its divisors is an integer number (1886040).

Almost surely, 2^113506000 is an apocalyptic number.

113506000 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 113506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150883200).

113506000 is an abundant number, since it is smaller than the sum of its proper divisors (188260400).

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

113506000 is a wasteful number, since it uses less digits than its factorization.

113506000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 113506000 is about 10653.9194665625. The cubic root of 113506000 is about 484.1793611587.

The spelling of 113506000 in words is "one hundred thirteen million, five hundred six thousand".