115450144128 has 256 divisors, whose sum is σ = 376958707200. Its totient is φ = 34491340800.

The previous prime is 115450144111. The next prime is 115450144153. The reversal of 115450144128 is 821441054511.

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

It is a junction number, because it is equal to n+sod(n) for n = 115450144092 and 115450144101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2677750 + ... + 2720522.

It is an arithmetic number, because the mean of its divisors is an integer number (1472494950).

Almost surely, 2^115450144128 is an apocalyptic number.

115450144128 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 115450144128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188479353600).

115450144128 is an abundant number, since it is smaller than the sum of its proper divisors (261508563072).

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

115450144128 is a wasteful number, since it uses less digits than its factorization.

115450144128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42878 (or 42860 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 115450144128 its reverse (821441054511), we get a palindrome (936891198639).

The spelling of 115450144128 in words is "one hundred fifteen billion, four hundred fifty million, one hundred forty-four thousand, one hundred twenty-eight".