115136 has 28 divisors (see below), whose sum is σ = 262128. Its totient is φ = 49152.

The previous prime is 115133. The next prime is 115151. The reversal of 115136 is 631511.

It is a tau number, because it is divible by the number of its divisors (28).

It is a magnanimous number.

It is an Ulam number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115133) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 320 + ... + 576.

2¹¹⁵¹³⁶ is an apocalyptic number.

115136 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 115136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131064).

115136 is an abundant number, since it is smaller than the sum of its proper divisors (146992).

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

115136 is an equidigital number, since it uses as much as digits as its factorization.

115136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its digits is 90, while the sum is 17.

The square root of 115136 is about 339.3169609672. The cubic root of 115136 is about 48.6486036258.

Adding to 115136 its reverse (631511), we get a palindrome (746647).

The spelling of 115136 in words is "one hundred fifteen thousand, one hundred thirty-six".