144135784984320 has 216 divisors, whose sum is σ = 498982634894016. Its totient is φ = 38414025007104.

The previous prime is 144135784984313. The next prime is 144135784984369. The reversal of 144135784984320 is 23489487531441.

144135784984320 is a `hidden beast` number, since 1 + 4 + 4 + 1 + 35 + 7 + 84 + 98 + 432 + 0 = 666.

It is a super-2 number, since 2×144135784984320² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16354297 + ... + 23574023.

It is an arithmetic number, because the mean of its divisors is an integer number (2310104791176).

Almost surely, 2^{144135784984320} is an apocalyptic number.

144135784984320 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 144135784984320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249491317447008).

144135784984320 is an abundant number, since it is smaller than the sum of its proper divisors (354846849909696).

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

144135784984320 is a wasteful number, since it uses less digits than its factorization.

144135784984320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7221487 (or 7221470 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 144135784984320 in words is "one hundred forty-four trillion, one hundred thirty-five billion, seven hundred eighty-four million, nine hundred eighty-four thousand, three hundred twenty".