144201133043312 has 80 divisors (see below), whose sum is σ = 295089936874560. Its totient is φ = 68130375346176.

The previous prime is 144201133043257. The next prime is 144201133043339. The reversal of 144201133043312 is 213340331102441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2781764 + ... + 17208732.

It is an arithmetic number, because the mean of its divisors is an integer number (3688624210932).

Almost surely, 2^{144201133043312} 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 144201133043312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147544968437280).

144201133043312 is an abundant number, since it is smaller than the sum of its proper divisors (150888803831248).

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

144201133043312 is a wasteful number, since it uses less digits than its factorization.

144201133043312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14427330 (or 14427324 counting only the distinct ones).

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

Adding to 144201133043312 its reverse (213340331102441), we get a palindrome (357541464145753).

The spelling of 144201133043312 in words is "one hundred forty-four trillion, two hundred one billion, one hundred thirty-three million, forty-three thousand, three hundred twelve".