166890129 has 24 divisors (see below), whose sum is σ = 272478240. Its totient is φ = 90345024.

The previous prime is 166890109. The next prime is 166890133. The reversal of 166890129 is 921098661.

It is not a de Polignac number, because 166890129 - 2⁹ = 166889617 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166890109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27084 + ... + 32669.

It is an arithmetic number, because the mean of its divisors is an integer number (11353260).

Almost surely, 2^166890129 is an apocalyptic number.

166890129 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

166890129 is a deficient number, since it is larger than the sum of its proper divisors (105588111).

166890129 is a wasteful number, since it uses less digits than its factorization.

166890129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59789 (or 59782 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 42.

The square root of 166890129 is about 12918.5962472708. The cubic root of 166890129 is about 550.5670504314.

The spelling of 166890129 in words is "one hundred sixty-six million, eight hundred ninety thousand, one hundred twenty-nine".