219144 has 32 divisors (see below), whose sum is σ = 573120. Its totient is φ = 69696.

The previous prime is 219143. The next prime is 219169. The reversal of 219144 is 441912.

It is a self number, because there is not a number n which added to its sum of digits gives 219144.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 219144.

It is not an unprimeable number, because it can be changed into a prime (219143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 354 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (17910).

2²¹⁹¹⁴⁴ is an apocalyptic number.

219144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286560).

219144 is an abundant number, since it is smaller than the sum of its proper divisors (353976).

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

219144 is a wasteful number, since it uses less digits than its factorization.

219144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 425 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

The square root of 219144 is about 468.1281875726. The cubic root of 219144 is about 60.2897099950.

It can be divided in two parts, 219 and 144, that added together give a palindrome (363).

The spelling of 219144 in words is "two hundred nineteen thousand, one hundred forty-four".