131397709597456 has 45 divisors (see below), whose sum is σ = 256228976481471. Its totient is φ = 65276814335616.

The previous prime is 131397709597433. The next prime is 131397709597621. The reversal of 131397709597456 is 654795907793131.

The square root of 131397709597456 is 11462884.

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 86484122499856 + 44913587097600 = 9299684^2 + 6701760^2 .

It is a super-2 number, since 2×131397709597456² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7198682026 + ... + 7198700278.

Almost surely, 2^{131397709597456} is an apocalyptic number.

131397709597456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131397709597456 is the 11462884-th square number.

It is an amenable number.

131397709597456 is a deficient number, since it is larger than the sum of its proper divisors (124831266884015).

131397709597456 is an frugal number, since it uses more digits than its factorization.

131397709597456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36828 (or 18412 counting only the distinct ones).

The product of its (nonzero) digits is 1350253800, while the sum is 76.

The spelling of 131397709597456 in words is "one hundred thirty-one trillion, three hundred ninety-seven billion, seven hundred nine million, five hundred ninety-seven thousand, four hundred fifty-six".