131688348067368 has 24 divisors (see below), whose sum is σ = 356655942682650. Its totient is φ = 43896116022432.

The previous prime is 131688348067351. The next prime is 131688348067417. The reversal of 131688348067368 is 863760843886131.

131688348067368 is a `hidden beast` number, since 1 + 3 + 1 + 6 + 8 + 83 + 480 + 6 + 7 + 3 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 112353173703684 + 19335174363684 = 10599678^2 + 4397178^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1829004834269 = 131688348067368 / (1 + 3 + 1 + 6 + 8 + 8 + 3 + 4 + 8 + 0 + 6 + 7 + 3 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 131688348067296 and 131688348067305.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 914502417063 + ... + 914502417206.

Almost surely, 2^{131688348067368} is an apocalyptic number.

131688348067368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

131688348067368 is an abundant number, since it is smaller than the sum of its proper divisors (224967594615282).

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

131688348067368 is a wasteful number, since it uses less digits than its factorization.

131688348067368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829004834281 (or 1829004834274 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 131688348067368 in words is "one hundred thirty-one trillion, six hundred eighty-eight billion, three hundred forty-eight million, sixty-seven thousand, three hundred sixty-eight".