144024000 has 224 divisors, whose sum is σ = 504968256. Its totient is φ = 36044800.

The previous prime is 144023993. The next prime is 144024059. The reversal of 144024000 is 420441.

It is a Cunningham number, because it is equal to 12001²-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407824 + ... + 408176.

Almost surely, 2^144024000 is an apocalyptic number.

144024000 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 144024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252484128).

144024000 is an abundant number, since it is smaller than the sum of its proper divisors (360944256).

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

144024000 is a wasteful number, since it uses less digits than its factorization.

144024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 144024000 is about 12000.9999583368. Note that the first 4 decimals coincide. The cubic root of 144024000 is about 524.1773965730.

Adding to 144024000 its reverse (420441), we get a palindrome (144444441).

The spelling of 144024000 in words is "one hundred forty-four million, twenty-four thousand".