144405168 has 80 divisors (see below), whose sum is σ = 395212800. Its totient is φ = 45308160.

The previous prime is 144405139. The next prime is 144405193. The reversal of 144405168 is 861504441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 173778 + ... + 174606.

It is an arithmetic number, because the mean of its divisors is an integer number (4940160).

Almost surely, 2^144405168 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 144405168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197606400).

144405168 is an abundant number, since it is smaller than the sum of its proper divisors (250807632).

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

144405168 is a wasteful number, since it uses less digits than its factorization.

144405168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 144405168 is about 12016.8701415968. The cubic root of 144405168 is about 524.6394113485.

The spelling of 144405168 in words is "one hundred forty-four million, four hundred five thousand, one hundred sixty-eight".