166918005135 has 96 divisors (see below), whose sum is σ = 348344156160. Its totient is φ = 72230206464.

The previous prime is 166918005113. The next prime is 166918005143. The reversal of 166918005135 is 531500819661.

It is a Cunningham number, because it is equal to 408556²-1.

It is not a de Polignac number, because 166918005135 - 2⁸ = 166918004879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7751794 + ... + 7773296.

It is an arithmetic number, because the mean of its divisors is an integer number (3628584960).

Almost surely, 2^166918005135 is an apocalyptic number.

166918005135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

166918005135 is an abundant number, since it is smaller than the sum of its proper divisors (181426151025).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

166918005135 is a wasteful number, since it uses less digits than its factorization.

166918005135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22837 (or 22834 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 166918005135 in words is "one hundred sixty-six billion, nine hundred eighteen million, five thousand, one hundred thirty-five".