144447360 has 128 divisors (see below), whose sum is σ = 480591360. Its totient is φ = 36833280.

The previous prime is 144447349. The next prime is 144447361. The reversal of 144447360 is 63744441.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144447361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42525 + ... + 45795.

It is an arithmetic number, because the mean of its divisors is an integer number (3754620).

Almost surely, 2^144447360 is an apocalyptic number.

144447360 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 144447360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240295680).

144447360 is an abundant number, since it is smaller than the sum of its proper divisors (336144000).

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

144447360 is a wasteful number, since it uses less digits than its factorization.

144447360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3316 (or 3304 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 33.

The square root of 144447360 is about 12018.6255453775. The cubic root of 144447360 is about 524.6905023883.

The spelling of 144447360 in words is "one hundred forty-four million, four hundred forty-seven thousand, three hundred sixty".