131757405273 has 70 divisors (see below), whose sum is σ = 213857400614. Its totient is φ = 80840882304.

The previous prime is 131757405259. The next prime is 131757405337. The reversal of 131757405273 is 372504757131.

131757405273 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 574 + 0 + 5 + 2 + 73 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 51063344784 + 80694060489 = 225972^2 + 284067^2 .

It is not a de Polignac number, because 131757405273 - 2⁹ = 131757404761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131757405253) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 390971361 + ... + 390971697.

Almost surely, 2^131757405273 is an apocalyptic number.

131757405273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

131757405273 is a deficient number, since it is larger than the sum of its proper divisors (82099995341).

131757405273 is an frugal number, since it uses more digits than its factorization.

131757405273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 617400, while the sum is 45.

The spelling of 131757405273 in words is "one hundred thirty-one billion, seven hundred fifty-seven million, four hundred five thousand, two hundred seventy-three".