115536 has 40 divisors (see below), whose sum is σ = 312480. Its totient is φ = 36736.

The previous prime is 115523. The next prime is 115547. The reversal of 115536 is 635511.

It is a happy number.

115536 is nontrivially palindromic in base 5.

It is a super-3 number, since 3×115536³ = 4626720213331968, which contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1351 + ... + 1433.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹¹⁵⁵³⁶ is an apocalyptic number.

115536 is a gapful number since it is divisible by the number (16) 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 115536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156240).

115536 is an abundant number, since it is smaller than the sum of its proper divisors (196944).

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

115536 is a wasteful number, since it uses less digits than its factorization.

115536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 117 counting only the distinct ones).

The product of its digits is 450, while the sum is 21.

The square root of 115536 is about 339.9058693227. The cubic root of 115536 is about 48.7048760625.

The spelling of 115536 in words is "one hundred fifteen thousand, five hundred thirty-six".