135681705816161 has 2 divisors, whose sum is σ = 135681705816162. Its totient is φ = 135681705816160.

The previous prime is 135681705816143. The next prime is 135681705816193. The reversal of 135681705816161 is 161618507186531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 121342760393761 + 14338945422400 = 11015569^2 + 3786680^2 .

It is a cyclic number.

It is not a de Polignac number, because 135681705816161 - 2³⁴ = 135664525946977 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 135681705816161.

It is not a weakly prime, because it can be changed into another prime (135681705812161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67840852908080 + 67840852908081.

It is an arithmetic number, because the mean of its divisors is an integer number (67840852908081).

Almost surely, 2^{135681705816161} is an apocalyptic number.

It is an amenable number.

135681705816161 is a deficient number, since it is larger than the sum of its proper divisors (1).

135681705816161 is an equidigital number, since it uses as much as digits as its factorization.

135681705816161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7257600, while the sum is 59.

The spelling of 135681705816161 in words is "one hundred thirty-five trillion, six hundred eighty-one billion, seven hundred five million, eight hundred sixteen thousand, one hundred sixty-one".