144225312 has 192 divisors, whose sum is σ = 479001600. Its totient is φ = 36910080.

The previous prime is 144225287. The next prime is 144225329. The reversal of 144225312 is 213522441.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 805639 + ... + 805817.

It is an arithmetic number, because the mean of its divisors is an integer number (2494800).

Almost surely, 2^144225312 is an apocalyptic number.

144225312 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 144225312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239500800).

144225312 is an abundant number, since it is smaller than the sum of its proper divisors (334776288).

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

144225312 is a wasteful number, since it uses less digits than its factorization.

144225312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 311 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 144225312 is about 12009.3843305975. The cubic root of 144225312 is about 524.4215088334.

Adding to 144225312 its reverse (213522441), we get a palindrome (357747753).

It can be divided in two parts, 144 and 225312, that added together give a triangular number (225456 = T₆₇₁).

The spelling of 144225312 in words is "one hundred forty-four million, two hundred twenty-five thousand, three hundred twelve".