144001316020 has 48 divisors (see below), whose sum is σ = 318150898128. Its totient is φ = 54676823040.

The previous prime is 144001316003. The next prime is 144001316059. The reversal of 144001316020 is 20613100441.

It can be written as a sum of positive squares in 8 ways, for example, as 4739496336 + 139261819684 = 68844^2 + 373178^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144001315982 and 144001316000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2342787 + ... + 2403466.

It is an arithmetic number, because the mean of its divisors is an integer number (6628143711).

Almost surely, 2^144001316020 is an apocalyptic number.

144001316020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144001316020 is an abundant number, since it is smaller than the sum of its proper divisors (174149582108).

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

144001316020 is a wasteful number, since it uses less digits than its factorization.

144001316020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4746340 (or 4746338 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 144001316020 its reverse (20613100441), we get a palindrome (164614416461).

The spelling of 144001316020 in words is "one hundred forty-four billion, one million, three hundred sixteen thousand, twenty".