115656120144 has 60 divisors (see below), whose sum is σ = 326540942676. Its totient is φ = 38210866176.

The previous prime is 115656120137. The next prime is 115656120253. The reversal of 115656120144 is 441021656511.

115656120144 is a `hidden beast` number, since 1 + 1 + 56 + 561 + 2 + 0 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65031120144 + 50625000000 = 255012^2 + 225000^2 .

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 = 115656120099 and 115656120108.

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 11 ways as a sum of consecutive naturals, for example, 3537567 + ... + 3570110.

Almost surely, 2^115656120144 is an apocalyptic number.

It is an amenable number.

115656120144 is an abundant number, since it is smaller than the sum of its proper divisors (210884822532).

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

115656120144 is a wasteful number, since it uses less digits than its factorization.

115656120144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7107804 (or 7107795 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 115656120144 its reverse (441021656511), we get a palindrome (556677776655).

The spelling of 115656120144 in words is "one hundred fifteen billion, six hundred fifty-six million, one hundred twenty thousand, one hundred forty-four".