144009 has 6 divisors (see below), whose sum is σ = 208026. Its totient is φ = 96000.

The previous prime is 143999. The next prime is 144013. The reversal of 144009 is 900441.

It can be written as a sum of positive squares in only one way, i.e., 138384 + 5625 = 372^2 + 75^2 .

It is not a de Polignac number, because 144009 - 2⁵ = 143977 is a prime.

144009 is a lucky number.

It is a junction number, because it is equal to n+sod(n) for n = 143982 and 144000.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 144009.

It is not an unprimeable number, because it can be changed into a prime (144409) 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 5 ways as a sum of consecutive naturals, for example, 7992 + ... + 8009.

It is an arithmetic number, because the mean of its divisors is an integer number (34671).

2¹⁴⁴⁰⁰⁹ is an apocalyptic number.

It is an amenable number.

144009 is a deficient number, since it is larger than the sum of its proper divisors (64017).

144009 is a wasteful number, since it uses less digits than its factorization.

144009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16007 (or 16004 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 144009 is about 379.4851775761. The cubic root of 144009 is about 52.4159198370.

It can be divided in two parts, 14400 and 9, that multiplied together give a square (129600 = 360²).

The spelling of 144009 in words is "one hundred forty-four thousand, nine".