135705371204717 has 16 divisors (see below), whose sum is σ = 147456807744000. Its totient is φ = 124414898944320.

The previous prime is 135705371204693. The next prime is 135705371204747. The reversal of 135705371204717 is 717402173507531.

It is a cyclic number.

It is not a de Polignac number, because 135705371204717 - 2¹² = 135705371200621 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135705371204747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89927663 + ... + 91424259.

It is an arithmetic number, because the mean of its divisors is an integer number (9216050484000).

Almost surely, 2^{135705371204717} is an apocalyptic number.

It is an amenable number.

135705371204717 is a deficient number, since it is larger than the sum of its proper divisors (11751436539283).

135705371204717 is a wasteful number, since it uses less digits than its factorization.

135705371204717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650596.

The product of its (nonzero) digits is 4321800, while the sum is 53.

The spelling of 135705371204717 in words is "one hundred thirty-five trillion, seven hundred five billion, three hundred seventy-one million, two hundred four thousand, seven hundred seventeen".