131366807479296 has 495 divisors, whose sum is σ = 416898154001307. Its totient is φ = 41195511152640.

The previous prime is 131366807479267. The next prime is 131366807479321. The reversal of 131366807479296 is 692974708663131.

The square root of 131366807479296 is 11461536.

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

131366807479296 is a `hidden beast` number, since 1 + 3 + 1 + 3 + 6 + 68 + 0 + 7 + 479 + 2 + 96 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 24896108160000 + 106470699319296 = 4989600^2 + 10318464^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 56115679086 + ... + 56115681426.

Almost surely, 2^{131366807479296} is an apocalyptic number.

131366807479296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

131366807479296 is the 11461536-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131366807479296

131366807479296 is an abundant number, since it is smaller than the sum of its proper divisors (285531346522011).

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

131366807479296 is an frugal number, since it uses more digits than its factorization.

131366807479296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4748 (or 2363 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 131366807479296 in words is "one hundred thirty-one trillion, three hundred sixty-six billion, eight hundred seven million, four hundred seventy-nine thousand, two hundred ninety-six".