135664127876267 has 32 divisors (see below), whose sum is σ = 149180333575680. Its totient is φ = 122814414858240.

The previous prime is 135664127876239. The next prime is 135664127876273. The reversal of 135664127876267 is 762678721466531.

It is a cyclic number.

It is not a de Polignac number, because 135664127876267 - 2¹² = 135664127872171 is a prime.

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 135664127876267.

It is not an unprimeable number, because it can be changed into a prime (135664127876467) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102852209 + ... + 104162877.

It is an arithmetic number, because the mean of its divisors is an integer number (4661885424240).

Almost surely, 2^{135664127876267} is an apocalyptic number.

135664127876267 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

135664127876267 is a deficient number, since it is larger than the sum of its proper divisors (13516205699413).

135664127876267 is a wasteful number, since it uses less digits than its factorization.

135664127876267 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311911.

The product of its digits is 853493760, while the sum is 71.

The spelling of 135664127876267 in words is "one hundred thirty-five trillion, six hundred sixty-four billion, one hundred twenty-seven million, eight hundred seventy-six thousand, two hundred sixty-seven".