144024320 has 144 divisors (see below), whose sum is σ = 385432992. Its totient is φ = 51118080.

The previous prime is 144024319. The next prime is 144024341. The reversal of 144024320 is 23420441.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 144024292 and 144024301.

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, 746144 + ... + 746336.

It is an arithmetic number, because the mean of its divisors is an integer number (2676618).

Almost surely, 2^144024320 is an apocalyptic number.

144024320 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 144024320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192716496).

144024320 is an abundant number, since it is smaller than the sum of its proper divisors (241408672).

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

144024320 is a wasteful number, since it uses less digits than its factorization.

144024320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 144024320 is about 12001.0132905518. The cubic root of 144024320 is about 524.1777847876.

Adding to 144024320 its reverse (23420441), we get a palindrome (167444761).

The spelling of 144024320 in words is "one hundred forty-four million, twenty-four thousand, three hundred twenty".