115137 has 12 divisors (see below), whose sum is σ = 181584. Its totient is φ = 69720.

The previous prime is 115133. The next prime is 115151. The reversal of 115137 is 731511.

It is a happy number.

115137 is nontrivially palindromic in base 16.

It is not a de Polignac number, because 115137 - 2² = 115133 is a prime.

115137 is an undulating number in base 16.

115137 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115137.

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

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 11 ways as a sum of consecutive naturals, for example, 483 + ... + 680.

It is an arithmetic number, because the mean of its divisors is an integer number (15132).

2¹¹⁵¹³⁷ is an apocalyptic number.

It is an amenable number.

115137 is a deficient number, since it is larger than the sum of its proper divisors (66447).

115137 is a wasteful number, since it uses less digits than its factorization.

115137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1180 (or 1177 counting only the distinct ones).

The product of its digits is 105, while the sum is 18.

The square root of 115137 is about 339.3184345125. The cubic root of 115137 is about 48.6487444693.

Adding to 115137 its reverse (731511), we get a palindrome (846648).

It can be divided in two parts, 115 and 137, that added together give a palindrome (252).

The spelling of 115137 in words is "one hundred fifteen thousand, one hundred thirty-seven".