115288137216 has 800 divisors, whose sum is σ = 410682286080. Its totient is φ = 31520047104.

The previous prime is 115288137161. The next prime is 115288137229. The reversal of 115288137216 is 612731882511.

115288137216 is a `hidden beast` number, since 1 + 1 + 528 + 81 + 37 + 2 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 907780545 + ... + 907780671.

Almost surely, 2^115288137216 is an apocalyptic number.

115288137216 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 115288137216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205341143040).

115288137216 is an abundant number, since it is smaller than the sum of its proper divisors (295394148864).

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

115288137216 is an equidigital number, since it uses as much as digits as its factorization.

115288137216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 251 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

The spelling of 115288137216 in words is "one hundred fifteen billion, two hundred eighty-eight million, one hundred thirty-seven thousand, two hundred sixteen".