144120320 has 80 divisors (see below), whose sum is σ = 363860640. Its totient is φ = 54595584.

The previous prime is 144120307. The next prime is 144120329. The reversal of 144120320 is 23021441.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (144120329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47159 + ... + 50121.

It is an arithmetic number, because the mean of its divisors is an integer number (4548258).

Almost surely, 2^144120320 is an apocalyptic number.

144120320 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 144120320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181930320).

144120320 is an abundant number, since it is smaller than the sum of its proper divisors (219740320).

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

144120320 is an equidigital number, since it uses as much as digits as its factorization.

144120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 144120320 is about 12005.0122865410. The cubic root of 144120320 is about 524.2942232032.

Adding to 144120320 its reverse (23021441), we get a palindrome (167141761).

The spelling of 144120320 in words is "one hundred forty-four million, one hundred twenty thousand, three hundred twenty".