162144 has 36 divisors (see below), whose sum is σ = 461916. Its totient is φ = 53952.

The previous prime is 162143. The next prime is 162209. The reversal of 162144 is 441261.

162144 is a `hidden beast` number, since 1 + 621 + 44 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (162143) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7 + ... + 569.

It is an arithmetic number, because the mean of its divisors is an integer number (12831).

2¹⁶²¹⁴⁴ 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 162144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230958).

162144 is an abundant number, since it is smaller than the sum of its proper divisors (299772).

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

162144 is a wasteful number, since it uses less digits than its factorization.

162144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 568 counting only the distinct ones).

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

The square root of 162144 is about 402.6710816535. The cubic root of 162144 is about 54.5297651845.

The spelling of 162144 in words is "one hundred sixty-two thousand, one hundred forty-four".