115820149536 has 1536 divisors, whose sum is σ = 470369894400. Its totient is φ = 26873856000.

The previous prime is 115820149531. The next prime is 115820149537. The reversal of 115820149536 is 635941028511.

It is a happy number.

115820149536 is a `hidden beast` number, since 1 + 1 + 58 + 20 + 1 + 49 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115820149491 and 115820149500.

It is not an unprimeable number, because it can be changed into a prime (115820149531) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1898690946 + ... + 1898691006.

It is an arithmetic number, because the mean of its divisors is an integer number (306230400).

Almost surely, 2^115820149536 is an apocalyptic number.

115820149536 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 115820149536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235184947200).

115820149536 is an abundant number, since it is smaller than the sum of its proper divisors (354549744864).

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

115820149536 is a wasteful number, since it uses less digits than its factorization.

115820149536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

It can be divided in two parts, 115820 and 149536, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 115820149536 in words is "one hundred fifteen billion, eight hundred twenty million, one hundred forty-nine thousand, five hundred thirty-six".