144159128540 has 96 divisors (see below), whose sum is σ = 353815257600. Its totient is φ = 48316320000.

The previous prime is 144159128527. The next prime is 144159128543. The reversal of 144159128540 is 45821951441.

144159128540 is digitally balanced in base 2, 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 = 144159128491 and 144159128500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144159128543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429790 + ... + 1527290.

It is an arithmetic number, because the mean of its divisors is an integer number (3685575600).

Almost surely, 2^144159128540 is an apocalyptic number.

144159128540 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 144159128540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176907628800).

144159128540 is an abundant number, since it is smaller than the sum of its proper divisors (209656129060).

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

144159128540 is a wasteful number, since it uses less digits than its factorization.

144159128540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97755 (or 97753 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 144159128540 in words is "one hundred forty-four billion, one hundred fifty-nine million, one hundred twenty-eight thousand, five hundred forty".