144301587144 has 256 divisors, whose sum is σ = 452801664000. Its totient is φ = 37667773440.

The previous prime is 144301587121. The next prime is 144301587161. The reversal of 144301587144 is 441785103441.

It is a junction number, because it is equal to n+sod(n) for n = 144301587096 and 144301587105.

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 63 ways as a sum of consecutive naturals, for example, 4352422 + ... + 4385450.

It is an arithmetic number, because the mean of its divisors is an integer number (1768756500).

Almost surely, 2^144301587144 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 144301587144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226400832000).

144301587144 is an abundant number, since it is smaller than the sum of its proper divisors (308500076856).

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

144301587144 is a wasteful number, since it uses less digits than its factorization.

144301587144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33148 (or 33144 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

It can be divided in two parts, 144301 and 587144, that added together give a triangular number (731445 = T₁₂₀₉).

The spelling of 144301587144 in words is "one hundred forty-four billion, three hundred one million, five hundred eighty-seven thousand, one hundred forty-four".