135791200217 has 2 divisors, whose sum is σ = 135791200218. Its totient is φ = 135791200216.

The previous prime is 135791200199. The next prime is 135791200219. The reversal of 135791200217 is 712002197531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 120558950656 + 15232249561 = 347216^2 + 123419^2 .

It is a cyclic number.

It is not a de Polignac number, because 135791200217 - 2¹⁴ = 135791183833 is a prime.

Together with 135791200219, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (135791200219) by changing a digit.

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 as a sum of consecutive naturals, namely, 67895600108 + 67895600109.

It is an arithmetic number, because the mean of its divisors is an integer number (67895600109).

Almost surely, 2^135791200217 is an apocalyptic number.

It is an amenable number.

135791200217 is a deficient number, since it is larger than the sum of its proper divisors (1).

135791200217 is an equidigital number, since it uses as much as digits as its factorization.

135791200217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 26460, while the sum is 38.

Adding to 135791200217 its reverse (712002197531), we get a palindrome (847793397748).

The spelling of 135791200217 in words is "one hundred thirty-five billion, seven hundred ninety-one million, two hundred thousand, two hundred seventeen".