144144000 has 768 divisors, whose sum is σ = 695036160. Its totient is φ = 27648000.

The previous prime is 144143983. The next prime is 144144019. The reversal of 144144000 is 441441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11087994 + ... + 11088006.

It is an arithmetic number, because the mean of its divisors is an integer number (904995).

Almost surely, 2^144144000 is an apocalyptic number.

144144000 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 144144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347518080).

144144000 is an abundant number, since it is smaller than the sum of its proper divisors (550892160).

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

144144000 is a wasteful number, since it uses less digits than its factorization.

144144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 144144000 is about 12005.9985007495. The cubic root of 144144000 is about 524.3229367284.

Adding to 144144000 its reverse (441441), we get a palindrome (144585441).

The spelling of 144144000 in words is "one hundred forty-four million, one hundred forty-four thousand".