115154435232144 has 400 divisors, whose sum is σ = 416173294918656. Its totient is φ = 29863997049600.

The previous prime is 115154435232139. The next prime is 115154435232173. The reversal of 115154435232144 is 441232534451511.

115154435232144 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 54 + 435 + 23 + 2 + 144 = 666.

115154435232144 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 115154435232144.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 63673659 + ... + 65457189.

Almost surely, 2^{115154435232144} is an apocalyptic number.

115154435232144 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 115154435232144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208086647459328).

115154435232144 is an abundant number, since it is smaller than the sum of its proper divisors (301018859686512).

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

115154435232144 is a wasteful number, since it uses less digits than its factorization.

115154435232144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1784216 (or 1784201 counting only the distinct ones).

The product of its digits is 1152000, while the sum is 45.

Adding to 115154435232144 its reverse (441232534451511), we get a palindrome (556386969683655).

The spelling of 115154435232144 in words is "one hundred fifteen trillion, one hundred fifty-four billion, four hundred thirty-five million, two hundred thirty-two thousand, one hundred forty-four".