164124 has 36 divisors (see below), whose sum is σ = 428064. Its totient is φ = 52992.

The previous prime is 164117. The next prime is 164147. The reversal of 164124 is 421461.

164124 is a `hidden beast` number, since 1 + 641 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 164097 and 164106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644 + ... + 1740.

2¹⁶⁴¹²⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214032).

164124 is an abundant number, since it is smaller than the sum of its proper divisors (263940).

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

164124 is a wasteful number, since it uses less digits than its factorization.

164124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 149 counting only the distinct ones).

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

The square root of 164124 is about 405.1222037855. The cubic root of 164124 is about 54.7508287859.

Adding to 164124 its reverse (421461), we get a palindrome (585585).

The spelling of 164124 in words is "one hundred sixty-four thousand, one hundred twenty-four".