115178960736 has 144 divisors (see below), whose sum is σ = 374589266688. Its totient is φ = 32885625600.

The previous prime is 115178960719. The next prime is 115178960737. The reversal of 115178960736 is 637069871511.

115178960736 is a `hidden beast` number, since 1 + 1 + 517 + 8 + 96 + 0 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115178960737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3027271 + ... + 3065081.

It is an arithmetic number, because the mean of its divisors is an integer number (2601314352).

Almost surely, 2^115178960736 is an apocalyptic number.

115178960736 is a gapful number since it is divisible by the number (16) 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 115178960736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187294633344).

115178960736 is an abundant number, since it is smaller than the sum of its proper divisors (259410305952).

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

115178960736 is a wasteful number, since it uses less digits than its factorization.

115178960736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39345 (or 39334 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 115178960736 in words is "one hundred fifteen billion, one hundred seventy-eight million, nine hundred sixty thousand, seven hundred thirty-six".