164142 has 24 divisors (see below), whose sum is σ = 388440. Its totient is φ = 49680.

The previous prime is 164117. The next prime is 164147. The reversal of 164142 is 241461.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164147) by changing a digit.

164142 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 217 + ... + 612.

It is an arithmetic number, because the mean of its divisors is an integer number (16185).

2¹⁶⁴¹⁴² is an apocalyptic number.

164142 is an abundant number, since it is smaller than the sum of its proper divisors (224298).

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

164142 is a wasteful number, since it uses less digits than its factorization.

164142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 845 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 164142 is about 405.1444186954. The cubic root of 164142 is about 54.7528302784.

164142 divided by its sum of digits (18) gives a palindrome (9119).

The spelling of 164142 in words is "one hundred sixty-four thousand, one hundred forty-two".