144208125640 has 64 divisors (see below), whose sum is σ = 344140876800. Its totient is φ = 54197480448.

The previous prime is 144208125629. The next prime is 144208125641. The reversal of 144208125640 is 46521802441.

144208125640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 144208125640.

It is not an unprimeable number, because it can be changed into a prime (144208125641) 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 15 ways as a sum of consecutive naturals, for example, 218521 + ... + 579799.

It is an arithmetic number, because the mean of its divisors is an integer number (5377201200).

Almost surely, 2^144208125640 is an apocalyptic number.

144208125640 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 144208125640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172070438400).

144208125640 is an abundant number, since it is smaller than the sum of its proper divisors (199932751160).

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

144208125640 is a wasteful number, since it uses less digits than its factorization.

144208125640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361894 (or 361890 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The spelling of 144208125640 in words is "one hundred forty-four billion, two hundred eight million, one hundred twenty-five thousand, six hundred forty".