534144 has 64 divisors (see below), whose sum is σ = 1542240. Its totient is φ = 162816.

The previous prime is 534137. The next prime is 534167. The reversal of 534144 is 441435.

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 534144.

It is an unprimeable number.

534144 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 (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4939 + ... + 5045.

2⁵³⁴¹⁴⁴ 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 534144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771120).

534144 is an abundant number, since it is smaller than the sum of its proper divisors (1008096).

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

534144 is a wasteful number, since it uses less digits than its factorization.

534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its digits is 960, while the sum is 21.

The square root of 534144 is about 730.8515581156. The cubic root of 534144 is about 81.1370944604.

Adding to 534144 its reverse (441435), we get a palindrome (975579).

The spelling of 534144 in words is "five hundred thirty-four thousand, one hundred forty-four".