144214512 has 80 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 44142336.

The previous prime is 144214501. The next prime is 144214517. The reversal of 144214512 is 215412441.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144214517) 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 15 ways as a sum of consecutive naturals, for example, 148653 + ... + 149619.

It is an arithmetic number, because the mean of its divisors is an integer number (5041344).

Almost surely, 2^144214512 is an apocalyptic number.

144214512 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 144214512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).

144214512 is an abundant number, since it is smaller than the sum of its proper divisors (259093008).

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

144214512 is a wasteful number, since it uses less digits than its factorization.

144214512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1224 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 144214512 is about 12008.9346738168. The cubic root of 144214512 is about 524.4084184505.

Adding to 144214512 its reverse (215412441), we get a palindrome (359626953).

The spelling of 144214512 in words is "one hundred forty-four million, two hundred fourteen thousand, five hundred twelve".