168129 has 16 divisors (see below), whose sum is σ = 268800. Its totient is φ = 103248.

The previous prime is 168127. The next prime is 168143. The reversal of 168129 is 921861.

It is not a de Polignac number, because 168129 - 2¹ = 168127 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

168129 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (168127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112 + ... + 590.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2¹⁶⁸¹²⁹ is an apocalyptic number.

It is an amenable number.

168129 is a deficient number, since it is larger than the sum of its proper divisors (100671).

168129 is a wasteful number, since it uses less digits than its factorization.

168129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501 (or 495 counting only the distinct ones).

The product of its digits is 864, while the sum is 27.

The square root of 168129 is about 410.0353643285. The cubic root of 168129 is about 55.1926029786.

The spelling of 168129 in words is "one hundred sixty-eight thousand, one hundred twenty-nine".