113508 has 24 divisors (see below), whose sum is σ = 294560. Its totient is φ = 37800.

The previous prime is 113501. The next prime is 113513. The reversal of 113508 is 805311.

Adding to 113508 its sum of digits (18), we get a triangular number (113526 = T_{476}).

Adding to 113508 its reverse (805311), we get a palindrome (918819).

113508 = T_{7} + T_{8} + ... +
T_{87}.

It is a happy number.

It is a super-3 number, since 3×113508^{3} = 4387333712377536, which contains 333 as substring.

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

It is a zygodrome in base 6 and base 8.

It is not an unprimeable number, because it can be changed into a prime (113501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 418 + ... + 633.

2^{113508} is an apocalyptic number.

113508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

113508 is an abundant number, since it is smaller than the sum of its proper divisors (181052).

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

113508 is a wasteful number, since it uses less digits than its factorization.

113508 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1064 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113508 is about 336.9094833928. The cubic root of 113508 is about 48.4182204923.

The spelling of 113508 in words is "one hundred thirteen thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1051 2102 3153 4204 6306 9459 12612 18918 28377 37836 56754 113508

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