135351870671667 has 16 divisors (see below), whose sum is σ = 194710648811168. Its totient is φ = 83139496830720.

The previous prime is 135351870671639. The next prime is 135351870671741. The reversal of 135351870671667 is 766176078153531.

It is not a de Polignac number, because 135351870671667 - 2³⁵ = 135317510933299 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135351870671598 and 135351870671607.

It is not an unprimeable number, because it can be changed into a prime (135351870671617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3207521218 + ... + 3207563415.

It is an arithmetic number, because the mean of its divisors is an integer number (12169415550698).

Almost surely, 2^{135351870671667} is an apocalyptic number.

135351870671667 is a deficient number, since it is larger than the sum of its proper divisors (59358778139501).

135351870671667 is a wasteful number, since it uses less digits than its factorization.

135351870671667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6415085190.

The product of its (nonzero) digits is 133358400, while the sum is 66.

The spelling of 135351870671667 in words is "one hundred thirty-five trillion, three hundred fifty-one billion, eight hundred seventy million, six hundred seventy-one thousand, six hundred sixty-seven".