166416129 has 24 divisors (see below), whose sum is σ = 265835232. Its totient is φ = 99472320.

The previous prime is 166416127. The next prime is 166416161. The reversal of 166416129 is 921614661.

166416129 is a `hidden beast` number, since 1 + 6 + 641 + 6 + 1 + 2 + 9 = 666.

166416129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 166416129 - 2¹ = 166416127 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 166416093 and 166416102.

It is not an unprimeable number, because it can be changed into a prime (166416127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4287 + ... + 18740.

It is an arithmetic number, because the mean of its divisors is an integer number (11076468).

Almost surely, 2^166416129 is an apocalyptic number.

It is an amenable number.

166416129 is a deficient number, since it is larger than the sum of its proper divisors (99419103).

166416129 is a wasteful number, since it uses less digits than its factorization.

166416129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23117 (or 23114 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 166416129 is about 12900.2375559522. The cubic root of 166416129 is about 550.0453174781.

The spelling of 166416129 in words is "one hundred sixty-six million, four hundred sixteen thousand, one hundred twenty-nine".