144312320 has 96 divisors (see below), whose sum is σ = 367075800. Its totient is φ = 54263808.

The previous prime is 144312319. The next prime is 144312331. The reversal of 144312320 is 23213441.

It can be written as a sum of positive squares in 4 ways, for example, as 133448704 + 10863616 = 11552^2 + 3296^2 .

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 = 144312292 and 144312301.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173666 + ... + 174494.

Almost surely, 2^144312320 is an apocalyptic number.

144312320 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 144312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183537900).

144312320 is an abundant number, since it is smaller than the sum of its proper divisors (222763480).

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

144312320 is an equidigital number, since it uses as much as digits as its factorization.

144312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144312320 is about 12013.0062848564. The cubic root of 144312320 is about 524.5269450047.

Adding to 144312320 its reverse (23213441), we get a palindrome (167525761).

The spelling of 144312320 in words is "one hundred forty-four million, three hundred twelve thousand, three hundred twenty".