115152768 has 96 divisors (see below), whose sum is σ = 348870600. Its totient is φ = 36357120.

The previous prime is 115152703. The next prime is 115152797. The reversal of 115152768 is 867251511.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 19258 + ... + 24518.

Almost surely, 2^115152768 is an apocalyptic number.

115152768 is a gapful number since it is divisible by the number (18) 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 115152768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174435300).

115152768 is an abundant number, since it is smaller than the sum of its proper divisors (233717832).

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

115152768 is a wasteful number, since it uses less digits than its factorization.

115152768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5300 (or 5285 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 115152768 is about 10730.9257755331. The cubic root of 115152768 is about 486.5096518138.

The spelling of 115152768 in words is "one hundred fifteen million, one hundred fifty-two thousand, seven hundred sixty-eight".