115344 has 50 divisors (see below), whose sum is σ = 337590. Its totient is φ = 38016.

The previous prime is 115343. The next prime is 115361. The reversal of 115344 is 443511.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 82944 + 32400 = 288^2 + 180^2 .

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

It is not an unprimeable number, because it can be changed into a prime (115343) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1252 + ... + 1340.

2¹¹⁵³⁴⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168795).

115344 is an abundant number, since it is smaller than the sum of its proper divisors (222246).

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

115344 is an equidigital number, since it uses as much as digits as its factorization.

115344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 94 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 115344 is about 339.6233207540. The cubic root of 115344 is about 48.6778815296.

Adding to 115344 its reverse (443511), we get a palindrome (558855).

The spelling of 115344 in words is "one hundred fifteen thousand, three hundred forty-four".