135713417735 has 16 divisors (see below), whose sum is σ = 192125171712. Its totient is φ = 90058672800.

The previous prime is 135713417711. The next prime is 135713417737. The reversal of 135713417735 is 537714317531.

It is not a de Polignac number, because 135713417735 - 2¹⁰ = 135713416711 is a prime.

It is a super-2 number, since 2×135713417735² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 135713417735.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135713417737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62539661 + ... + 62541830.

It is an arithmetic number, because the mean of its divisors is an integer number (12007823232).

Almost surely, 2^135713417735 is an apocalyptic number.

135713417735 is a deficient number, since it is larger than the sum of its proper divisors (56411753977).

135713417735 is a wasteful number, since it uses less digits than its factorization.

135713417735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125081534.

The product of its digits is 926100, while the sum is 47.

The spelling of 135713417735 in words is "one hundred thirty-five billion, seven hundred thirteen million, four hundred seventeen thousand, seven hundred thirty-five".