131080242144784 has 45 divisors (see below), whose sum is σ = 257501207548263. Its totient is φ = 64640662534656.

The previous prime is 131080242144781. The next prime is 131080242144827. The reversal of 131080242144784 is 487441242080131.

The square root of 131080242144784 is 11449028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 48122246480400 + 82957995664384 = 6937020^2 + 9108128^2 .

It is not an unprimeable number, because it can be changed into a prime (131080242144781) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3343096572 + ... + 3343135780.

Almost surely, 2^{131080242144784} is an apocalyptic number.

131080242144784 is the 11449028-th square number.

It is an amenable number.

131080242144784 is a deficient number, since it is larger than the sum of its proper divisors (126420965403479).

131080242144784 is an frugal number, since it uses more digits than its factorization.

131080242144784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78572 (or 39284 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 49.

The spelling of 131080242144784 in words is "one hundred thirty-one trillion, eighty billion, two hundred forty-two million, one hundred forty-four thousand, seven hundred eighty-four".