144480960 has 336 divisors, whose sum is σ = 569159136. Its totient is φ = 33325056.

The previous prime is 144480913. The next prime is 144480983. The reversal of 144480960 is 69084441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 636367 + ... + 636593.

It is an arithmetic number, because the mean of its divisors is an integer number (1693926).

Almost surely, 2^144480960 is an apocalyptic number.

144480960 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 144480960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284579568).

144480960 is an abundant number, since it is smaller than the sum of its proper divisors (424678176).

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

144480960 is a wasteful number, since it uses less digits than its factorization.

144480960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 144480960 is about 12020.0232944866. The cubic root of 144480960 is about 524.7311821075.

The spelling of 144480960 in words is "one hundred forty-four million, four hundred eighty thousand, nine hundred sixty".