135916645924759 has 64 divisors (see below), whose sum is σ = 165933782784000. Its totient is φ = 108824526784512.

The previous prime is 135916645924739. The next prime is 135916645924781. The reversal of 135916645924759 is 957429546619531.

It is not a de Polignac number, because 135916645924759 - 2¹³ = 135916645916567 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135916645924739) 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 in 63 ways as a sum of consecutive naturals, for example, 609246267 + ... + 609469315.

It is an arithmetic number, because the mean of its divisors is an integer number (2592715356000).

Almost surely, 2^{135916645924759} is an apocalyptic number.

135916645924759 is a deficient number, since it is larger than the sum of its proper divisors (30017136859241).

135916645924759 is a wasteful number, since it uses less digits than its factorization.

135916645924759 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223664.

The product of its digits is 2204496000, while the sum is 76.

The spelling of 135916645924759 in words is "one hundred thirty-five trillion, nine hundred sixteen billion, six hundred forty-five million, nine hundred twenty-four thousand, seven hundred fifty-nine".