165166065056133 has 12 divisors (see below), whose sum is σ = 243649230721728. Its totient is φ = 107767928972520.

The previous prime is 165166065056129. The next prime is 165166065056137. The reversal of 165166065056133 is 331650560661561.

165166065056133 is a `hidden beast` number, since 1 + 6 + 5 + 16 + 6 + 0 + 6 + 5 + 0 + 5 + 613 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (165166065056129) and next prime (165166065056137).

It is not a de Polignac number, because 165166065056133 - 2² = 165166065056129 is a prime.

It is a super-2 number, since 2×165166065056133² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 165166065056133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165166065056137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 195231754963 + ... + 195231755808.

It is an arithmetic number, because the mean of its divisors is an integer number (20304102560144).

Almost surely, 2^{165166065056133} is an apocalyptic number.

It is an amenable number.

165166065056133 is a deficient number, since it is larger than the sum of its proper divisors (78483165665595).

165166065056133 is a wasteful number, since it uses less digits than its factorization.

165166065056133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390463510824 (or 390463510821 counting only the distinct ones).

The product of its (nonzero) digits is 8748000, while the sum is 54.

The spelling of 165166065056133 in words is "one hundred sixty-five trillion, one hundred sixty-six billion, sixty-five million, fifty-six thousand, one hundred thirty-three".