144322560 has 312 divisors, whose sum is σ = 536674320. Its totient is φ = 37158912.

The previous prime is 144322559. The next prime is 144322573. The reversal of 144322560 is 65223441.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4976626 + ... + 4976654.

It is an arithmetic number, because the mean of its divisors is an integer number (1720110).

Almost surely, 2^144322560 is an apocalyptic number.

144322560 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 144322560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268337160).

144322560 is an abundant number, since it is smaller than the sum of its proper divisors (392351760).

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

144322560 is an frugal number, since it uses more digits than its factorization.

144322560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 144322560 is about 12013.4324820178. The cubic root of 144322560 is about 524.5393510346.

The spelling of 144322560 in words is "one hundred forty-four million, three hundred twenty-two thousand, five hundred sixty".