131734252643364 has 36 divisors (see below), whose sum is σ = 380565618748224. Its totient is φ = 37638357898032.

The previous prime is 131734252643327. The next prime is 131734252643369. The reversal of 131734252643364 is 463346252437131.

131734252643364 is a `hidden beast` number, since 1 + 3 + 1 + 7 + 3 + 42 + 5 + 264 + 336 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 131734252643364.

It is not an unprimeable number, because it can be changed into a prime (131734252643369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261377485152 + ... + 261377485655.

Almost surely, 2^{131734252643364} is an apocalyptic number.

131734252643364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131734252643364 is an abundant number, since it is smaller than the sum of its proper divisors (248831366104860).

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

131734252643364 is a wasteful number, since it uses less digits than its factorization.

131734252643364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522754970824 (or 522754970819 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 54.

The spelling of 131734252643364 in words is "one hundred thirty-one trillion, seven hundred thirty-four billion, two hundred fifty-two million, six hundred forty-three thousand, three hundred sixty-four".