131195444667364 has 81 divisors (see below), whose sum is σ = 293567307708969. Its totient is φ = 51114421068480.

The previous prime is 131195444667277. The next prime is 131195444667437. The reversal of 131195444667364 is 463766444591131.

The square root of 131195444667364 is 11454058.

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

It can be written as a sum of positive squares in only one way, i.e., 1859595868900 + 129335848798464 = 1363670^2 + 11372592^2 .

It is a junction number, because it is equal to n+sod(n) for n = 131195444667296 and 131195444667305.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1763887744 + ... + 1763962120.

Almost surely, 2^{131195444667364} is an apocalyptic number.

131195444667364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

131195444667364 is the 11454058-th square number.

It is an amenable number.

131195444667364 is an abundant number, since it is smaller than the sum of its proper divisors (162371863041605).

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

131195444667364 is an frugal number, since it uses more digits than its factorization.

131195444667364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148794 (or 74397 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 64.

The spelling of 131195444667364 in words is "one hundred thirty-one trillion, one hundred ninety-five billion, four hundred forty-four million, six hundred sixty-seven thousand, three hundred sixty-four".