135677434066835 has 16 divisors (see below), whose sum is σ = 175367650402560. Its totient is φ = 100437836133600.

The previous prime is 135677434066789. The next prime is 135677434066883. The reversal of 135677434066835 is 538660434776531.

It is not a de Polignac number, because 135677434066835 - 2³⁸ = 135402556159891 is a prime.

It is a super-3 number, since 3×135677434066835³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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, 16606780991 + ... + 16606789160.

It is an arithmetic number, because the mean of its divisors is an integer number (10960478150160).

Almost surely, 2^{135677434066835} is an apocalyptic number.

135677434066835 is a deficient number, since it is larger than the sum of its proper divisors (39690216335725).

135677434066835 is a wasteful number, since it uses less digits than its factorization.

135677434066835 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33213570218.

The product of its (nonzero) digits is 914457600, while the sum is 68.

The spelling of 135677434066835 in words is "one hundred thirty-five trillion, six hundred seventy-seven billion, four hundred thirty-four million, sixty-six thousand, eight hundred thirty-five".