144104133240960 has 256 divisors, whose sum is σ = 464330726415360. Its totient is φ = 38011764031488.

The previous prime is 144104133240917. The next prime is 144104133240961. The reversal of 144104133240960 is 69042331401441.

It is not an unprimeable number, because it can be changed into a prime (144104133240961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66149254 + ... + 68292986.

It is an arithmetic number, because the mean of its divisors is an integer number (1813791900060).

Almost surely, 2^{144104133240960} is an apocalyptic number.

144104133240960 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 144104133240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232165363207680).

144104133240960 is an abundant number, since it is smaller than the sum of its proper divisors (320226593174400).

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

144104133240960 is a wasteful number, since it uses less digits than its factorization.

144104133240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144135 (or 2144123 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 144104133240960 in words is "one hundred forty-four trillion, one hundred four billion, one hundred thirty-three million, two hundred forty thousand, nine hundred sixty".