144504960 has 128 divisors (see below), whose sum is σ = 467372160. Its totient is φ = 37969920.

The previous prime is 144504959. The next prime is 144504979. The reversal of 144504960 is 69405441.

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

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 15 ways as a sum of consecutive naturals, for example, 139645 + ... + 140675.

It is an arithmetic number, because the mean of its divisors is an integer number (3651345).

Almost surely, 2^144504960 is an apocalyptic number.

144504960 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 144504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233686080).

144504960 is an abundant number, since it is smaller than the sum of its proper divisors (322867200).

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

144504960 is a wasteful number, since it uses less digits than its factorization.

144504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 144504960 is about 12021.0215872030. The cubic root of 144504960 is about 524.7602351885.

The spelling of 144504960 in words is "one hundred forty-four million, five hundred four thousand, nine hundred sixty".