144391556136960 has 2688 divisors, whose sum is σ = 582580269442080. Its totient is φ = 34306806251520.

The previous prime is 144391556136901. The next prime is 144391556137019. The reversal of 144391556136960 is 69631655193441.

144391556136960 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 9 + 1 + 5 + 5 + 613 + 6 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (144391556136901) and next prime (144391556137019).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1401859768269 + ... + 1401859768371.

Almost surely, 2^{144391556136960} is an apocalyptic number.

144391556136960 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 144391556136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291290134721040).

144391556136960 is an abundant number, since it is smaller than the sum of its proper divisors (438188713305120).

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

144391556136960 is an frugal number, since it uses more digits than its factorization.

144391556136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 62985600, while the sum is 63.

The spelling of 144391556136960 in words is "one hundred forty-four trillion, three hundred ninety-one billion, five hundred fifty-six million, one hundred thirty-six thousand, nine hundred sixty".