144795825160 has 384 divisors, whose sum is σ = 414628022880. Its totient is φ = 45185236992.

The previous prime is 144795825137. The next prime is 144795825193. The reversal of 144795825160 is 61528597441.

It can be written as a sum of positive squares in 16 ways, for example, as 128781935044 + 16013890116 = 358862^2 + 126546^2 .

It is a junction number, because it is equal to n+sod(n) for n = 144795825098 and 144795825107.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316839652 + ... + 316840108.

Almost surely, 2^144795825160 is an apocalyptic number.

144795825160 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 144795825160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207314011440).

144795825160 is an abundant number, since it is smaller than the sum of its proper divisors (269832197720).

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

144795825160 is a wasteful number, since it uses less digits than its factorization.

144795825160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 52.

The spelling of 144795825160 in words is "one hundred forty-four billion, seven hundred ninety-five million, eight hundred twenty-five thousand, one hundred sixty".