144312245136 has 140 divisors (see below), whose sum is σ = 420493451280. Its totient is φ = 47957469120.

The previous prime is 144312245123. The next prime is 144312245141. The reversal of 144312245136 is 631542213441.

144312245136 is a `hidden beast` number, since 14 + 4 + 3 + 122 + 4 + 513 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 144312245136.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3842095 + ... + 3879473.

It is an arithmetic number, because the mean of its divisors is an integer number (3003524652).

Almost surely, 2^144312245136 is an apocalyptic number.

144312245136 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 144312245136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210246725640).

144312245136 is an abundant number, since it is smaller than the sum of its proper divisors (276181206144).

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

144312245136 is an equidigital number, since it uses as much as digits as its factorization.

144312245136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37736 (or 37715 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

Adding to 144312245136 its reverse (631542213441), we get a palindrome (775854458577).

The spelling of 144312245136 in words is "one hundred forty-four billion, three hundred twelve million, two hundred forty-five thousand, one hundred thirty-six".