115246144 has 28 divisors (see below), whose sum is σ = 246285004. Its totient is φ = 53190144.

The previous prime is 115246129. The next prime is 115246193. The reversal of 115246144 is 441642511.

115246144 = 345² + 346² + ... + 728².

It can be written as a sum of positive squares in 2 ways, for example, as 26132544 + 89113600 = 5112^2 + 9440^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 68427 + ... + 70090.

It is an arithmetic number, because the mean of its divisors is an integer number (8795893).

Almost surely, 2^115246144 is an apocalyptic number.

It is an amenable number.

115246144 is an abundant number, since it is smaller than the sum of its proper divisors (131038860).

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

115246144 is a wasteful number, since it uses less digits than its factorization.

115246144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138542 (or 138532 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 115246144 is about 10735.2756834652. The cubic root of 115246144 is about 486.6411179015.

Adding to 115246144 its reverse (441642511), we get a palindrome (556888655).

The spelling of 115246144 in words is "one hundred fifteen million, two hundred forty-six thousand, one hundred forty-four".