144848800 has 36 divisors (see below), whose sum is σ = 353614086. Its totient is φ = 57939200.

The previous prime is 144848773. The next prime is 144848801. The reversal of 144848800 is 8848441.

It can be written as a sum of positive squares in 3 ways, for example, as 126427536 + 18421264 = 11244^2 + 4292^2 .

It is a super-2 number, since 2×144848800² = 41962349722880000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 144848800.

It is not an unprimeable number, because it can be changed into a prime (144848801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 89731 + ... + 91330.

Almost surely, 2^144848800 is an apocalyptic number.

144848800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144848800 is an abundant number, since it is smaller than the sum of its proper divisors (208765286).

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

144848800 is a wasteful number, since it uses less digits than its factorization.

144848800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181081 (or 181068 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 37.

The square root of 144848800 is about 12035.3147029897. The cubic root of 144848800 is about 525.1761162725.

The spelling of 144848800 in words is "one hundred forty-four million, eight hundred forty-eight thousand, eight hundred".