144084000 has 96 divisors (see below), whose sum is σ = 472058496. Its totient is φ = 38419200.

The previous prime is 144083981. The next prime is 144084041. The reversal of 144084000 is 480441.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5997 + ... + 18003.

It is an arithmetic number, because the mean of its divisors is an integer number (4917276).

Almost surely, 2^144084000 is an apocalyptic number.

144084000 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 144084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236029248).

144084000 is an abundant number, since it is smaller than the sum of its proper divisors (327974496).

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

144084000 is a wasteful number, since it uses less digits than its factorization.

144084000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12035 (or 12017 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 144084000 is about 12003.4994897322. The cubic root of 144084000 is about 524.2501767518.

The spelling of 144084000 in words is "one hundred forty-four million, eighty-four thousand".