144641137056 has 192 divisors, whose sum is σ = 431674790400. Its totient is φ = 42038701056.

The previous prime is 144641137007. The next prime is 144641137073. The reversal of 144641137056 is 650731146441.

It is a junction number, because it is equal to n+sod(n) for n = 144641136999 and 144641137017.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8219275 + ... + 8236853.

It is an arithmetic number, because the mean of its divisors is an integer number (2248306200).

Almost surely, 2^144641137056 is an apocalyptic number.

144641137056 is a gapful number since it is divisible by the number (16) 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 144641137056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215837395200).

144641137056 is an abundant number, since it is smaller than the sum of its proper divisors (287033653344).

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

144641137056 is a wasteful number, since it uses less digits than its factorization.

144641137056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17971 (or 17963 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 144641137056 in words is "one hundred forty-four billion, six hundred forty-one million, one hundred thirty-seven thousand, fifty-six".