144004120320 has 144 divisors (see below), whose sum is σ = 464655733920. Its totient is φ = 38005112832.

The previous prime is 144004120289. The next prime is 144004120357. The reversal of 144004120320 is 23021400441.

144004120320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179176 + ... + 565784.

It is an arithmetic number, because the mean of its divisors is an integer number (3226775930).

Almost surely, 2^144004120320 is an apocalyptic number.

144004120320 is a gapful number since it is divisible by the number (10) 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 144004120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232327866960).

144004120320 is an abundant number, since it is smaller than the sum of its proper divisors (320651613600).

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

144004120320 is an equidigital number, since it uses as much as digits as its factorization.

144004120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386730 (or 386716 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 144004120320 its reverse (23021400441), we get a palindrome (167025520761).

The spelling of 144004120320 in words is "one hundred forty-four billion, four million, one hundred twenty thousand, three hundred twenty".