135136472135593 has 2 divisors, whose sum is σ = 135136472135594. Its totient is φ = 135136472135592.

The previous prime is 135136472135591. The next prime is 135136472135611. The reversal of 135136472135593 is 395531274631531.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105901223252224 + 29235248883369 = 10290832^2 + 5406963^2 .

It is a cyclic number.

It is not a de Polignac number, because 135136472135593 - 2¹ = 135136472135591 is a prime.

It is a super-2 number, since 2×135136472135593² (a number of 29 digits) contains 22 as substring.

Together with 135136472135591, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (135136472135591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67568236067796 + 67568236067797.

It is an arithmetic number, because the mean of its divisors is an integer number (67568236067797).

Almost surely, 2^{135136472135593} is an apocalyptic number.

It is an amenable number.

135136472135593 is a deficient number, since it is larger than the sum of its proper divisors (1).

135136472135593 is an equidigital number, since it uses as much as digits as its factorization.

135136472135593 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 30618000, while the sum is 58.

The spelling of 135136472135593 in words is "one hundred thirty-five trillion, one hundred thirty-six billion, four hundred seventy-two million, one hundred thirty-five thousand, five hundred ninety-three".