131416056144 has 60 divisors (see below), whose sum is σ = 369688121556. Its totient is φ = 43578372096.

The previous prime is 131416056143. The next prime is 131416056173. The reversal of 131416056144 is 441650614131.

131416056144 is a `hidden beast` number, since 1 + 3 + 1 + 4 + 1 + 605 + 6 + 1 + 44 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13843875600 + 117572180544 = 117660^2 + 342888^2 .

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 = 131416056099 and 131416056108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131416056143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2336487 + ... + 2392070.

Almost surely, 2^131416056144 is an apocalyptic number.

It is an amenable number.

131416056144 is an abundant number, since it is smaller than the sum of its proper divisors (238272065412).

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

131416056144 is a wasteful number, since it uses less digits than its factorization.

131416056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4728764 (or 4728755 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 131416056144 in words is "one hundred thirty-one billion, four hundred sixteen million, fifty-six thousand, one hundred forty-four".