320144 has 40 divisors (see below), whose sum is σ = 723168. Its totient is φ = 135680.

The previous prime is 320143. The next prime is 320149. The reversal of 320144 is 441023.

320144 is a modest number, since divided by 144 gives 32 as remainder.

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 320144.

It is not an unprimeable number, because it can be changed into a prime (320141) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2939 + ... + 3045.

2³²⁰¹⁴⁴ is an apocalyptic number.

320144 is a gapful number since it is divisible by the number (34) 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 320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584).

320144 is an abundant number, since it is smaller than the sum of its proper divisors (403024).

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

320144 is a wasteful number, since it uses less digits than its factorization.

320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 320144 is about 565.8126898542. The cubic root of 320144 is about 68.4092961842.

Adding to 320144 its reverse (441023), we get a palindrome (761167).

It can be divided in two parts, 320 and 144, that added together give a palindrome (464).

The spelling of 320144 in words is "three hundred twenty thousand, one hundred forty-four", and thus it is an iban number.