131676474151369 has 81 divisors (see below), whose sum is σ = 157262904560853. Its totient is φ = 109931221661184.

The previous prime is 131676474151363. The next prime is 131676474151379. The reversal of 131676474151369 is 963151474676131.

The square root of 131676474151369 is 11475037.

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 91314747015625 + 40361727135744 = 9555875^2 + 6353088^2 .

It is not a de Polignac number, because 131676474151369 - 2⁵ = 131676474151337 is a prime.

It is a super-2 number, since 2×131676474151369² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131676474151369.

It is not an unprimeable number, because it can be changed into a prime (131676474151363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 807831129682 + ... + 807831129844.

Almost surely, 2^{131676474151369} is an apocalyptic number.

131676474151369 is the 11475037-th square number.

131676474151369 is the 5737519-th centered octagonal number.

It is an amenable number.

131676474151369 is a deficient number, since it is larger than the sum of its proper divisors (25586430409484).

131676474151369 is an frugal number, since it uses more digits than its factorization.

131676474151369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 372 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 64.

The spelling of 131676474151369 in words is "one hundred thirty-one trillion, six hundred seventy-six billion, four hundred seventy-four million, one hundred fifty-one thousand, three hundred sixty-nine".