115392144 has 80 divisors (see below), whose sum is σ = 347977728. Its totient is φ = 32263296.

The previous prime is 115392143. The next prime is 115392203. The reversal of 115392144 is 441293511.

It is not an unprimeable number, because it can be changed into a prime (115392143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12139 + ... + 19445.

Almost surely, 2^115392144 is an apocalyptic number.

115392144 is a gapful number since it is divisible by the number (14) 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 115392144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173988864).

115392144 is an abundant number, since it is smaller than the sum of its proper divisors (232585584).

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

115392144 is a wasteful number, since it uses less digits than its factorization.

115392144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372 (or 7366 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 115392144 is about 10742.0735428501. The cubic root of 115392144 is about 486.8465322107.

The spelling of 115392144 in words is "one hundred fifteen million, three hundred ninety-two thousand, one hundred forty-four".