144189039960 has 768 divisors, whose sum is σ = 583315200000. Its totient is φ = 30152466432.

The previous prime is 144189039913. The next prime is 144189040001. The reversal of 144189039960 is 69930981441.

It is a happy number.

144189039960 is a `hidden beast` number, since 1 + 441 + 89 + 0 + 39 + 96 + 0 = 666.

144189039960 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 144189039897 and 144189039906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352540236 + ... + 352540644.

It is an arithmetic number, because the mean of its divisors is an integer number (759525000).

Almost surely, 2^144189039960 is an apocalyptic number.

144189039960 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 144189039960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291657600000).

144189039960 is an abundant number, since it is smaller than the sum of its proper divisors (439126160040).

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

144189039960 is a wasteful number, since it uses less digits than its factorization.

144189039960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 144189039960 in words is "one hundred forty-four billion, one hundred eighty-nine million, thirty-nine thousand, nine hundred sixty".