144240000 has 160 divisors (see below), whose sum is σ = 479565240. Its totient is φ = 38400000.

The previous prime is 144239989. The next prime is 144240007. The reversal of 144240000 is 42441.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144240007) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 239700 + ... + 240300.

Almost surely, 2^144240000 is an apocalyptic number.

144240000 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 144240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239782620).

144240000 is an abundant number, since it is smaller than the sum of its proper divisors (335325240).

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

144240000 is an frugal number, since it uses more digits than its factorization.

144240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 611 counting only the distinct ones).

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

The square root of 144240000 is about 12009.9958368019. The cubic root of 144240000 is about 524.4393107055.

Adding to 144240000 its reverse (42441), we get a palindrome (144282441).

The spelling of 144240000 in words is "one hundred forty-four million, two hundred forty thousand".