144880320 has 336 divisors, whose sum is σ = 535472640. Its totient is φ = 33067008.

The previous prime is 144880319. The next prime is 144880321. The reversal of 144880320 is 23088441.

It is an interprime number because it is at equal distance from previous prime (144880319) and next prime (144880321).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144880321) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3082537 + ... + 3082583.

Almost surely, 2^144880320 is an apocalyptic number.

144880320 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 144880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267736320).

144880320 is an abundant number, since it is smaller than the sum of its proper divisors (390592320).

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

144880320 is a wasteful number, since it uses less digits than its factorization.

144880320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 144880320 is about 12036.6241114359. The cubic root of 144880320 is about 525.2142073731.

The spelling of 144880320 in words is "one hundred forty-four million, eight hundred eighty thousand, three hundred twenty".