131800346343144 has 48 divisors (see below), whose sum is σ = 364554149469120. Its totient is φ = 42998694550560.

The previous prime is 131800346343143. The next prime is 131800346343179. The reversal of 131800346343144 is 441343643008131.

It is a happy number.

131800346343144 is a `hidden beast` number, since 1 + 3 + 1 + 8 + 0 + 0 + 3 + 4 + 634 + 3 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 131800346343144.

It is not an unprimeable number, because it can be changed into a prime (131800346343143) 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, 19474043062 + ... + 19474049829.

It is an arithmetic number, because the mean of its divisors is an integer number (7594878113940).

Almost surely, 2^{131800346343144} is an apocalyptic number.

It is an amenable number.

131800346343144 is an abundant number, since it is smaller than the sum of its proper divisors (232753803125976).

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

131800346343144 is a wasteful number, since it uses less digits than its factorization.

131800346343144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38948092950 (or 38948092943 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 131800346343144 in words is "one hundred thirty-one trillion, eight hundred billion, three hundred forty-six million, three hundred forty-three thousand, one hundred forty-four".