144885312 has 168 divisors, whose sum is σ = 488167680. Its totient is φ = 40504320.

The previous prime is 144885287. The next prime is 144885313. The reversal of 144885312 is 213588441.

144885312 is a `hidden beast` number, since 1 + 44 + 88 + 531 + 2 = 666.

144885312 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (144885313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81489 + ... + 83247.

It is an arithmetic number, because the mean of its divisors is an integer number (2905760).

Almost surely, 2^144885312 is an apocalyptic number.

144885312 is a gapful number since it is divisible by the number (12) 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 144885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244083840).

144885312 is an abundant number, since it is smaller than the sum of its proper divisors (343282368).

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

144885312 is a wasteful number, since it uses less digits than its factorization.

144885312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1801 (or 1788 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 144885312 is about 12036.8314767633. The cubic root of 144885312 is about 525.2202395685.

The spelling of 144885312 in words is "one hundred forty-four million, eight hundred eighty-five thousand, three hundred twelve".