144999136128 has 768 divisors, whose sum is σ = 508848721920. Its totient is φ = 35765452800.

The previous prime is 144999136081. The next prime is 144999136129. The reversal of 144999136128 is 821631999441.

It is a happy number.

144999136128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (3359232) is a multiple of the sum of its prime divisors (324).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144999136129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 736036126 + ... + 736036322.

It is an arithmetic number, because the mean of its divisors is an integer number (662563440).

Almost surely, 2^144999136128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144999136128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254424360960).

144999136128 is an abundant number, since it is smaller than the sum of its proper divisors (363849585792).

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

144999136128 is a wasteful number, since it uses less digits than its factorization.

144999136128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 324 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 57.

The spelling of 144999136128 in words is "one hundred forty-four billion, nine hundred ninety-nine million, one hundred thirty-six thousand, one hundred twenty-eight".