144301133013440 has 56 divisors (see below), whose sum is σ = 370049155536480. Its totient is φ = 53280418341888.

The previous prime is 144301133013421. The next prime is 144301133013509. The reversal of 144301133013440 is 44310331103441.

144301133013440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 144301133013397 and 144301133013406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17343882020 + ... + 17343890339.

It is an arithmetic number, because the mean of its divisors is an integer number (6608020634580).

Almost surely, 2^{144301133013440} is an apocalyptic number.

144301133013440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144301133013440 is an abundant number, since it is smaller than the sum of its proper divisors (225748022523040).

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

144301133013440 is a wasteful number, since it uses less digits than its factorization.

144301133013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34687772389 (or 34687772379 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 32.

Adding to 144301133013440 its reverse (44310331103441), we get a palindrome (188611464116881).

The spelling of 144301133013440 in words is "one hundred forty-four trillion, three hundred one billion, one hundred thirty-three million, thirteen thousand, four hundred forty".