144712320 has 256 divisors, whose sum is σ = 502329600. Its totient is φ = 35323904.

The previous prime is 144712319. The next prime is 144712327. The reversal of 144712320 is 23217441.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (144712327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1280584 + ... + 1280696.

It is an arithmetic number, because the mean of its divisors is an integer number (1962225).

Almost surely, 2^144712320 is an apocalyptic number.

144712320 is a gapful number since it is divisible by the number (10) 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 144712320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251164800).

144712320 is an abundant number, since it is smaller than the sum of its proper divisors (357617280).

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

144712320 is a wasteful number, since it uses less digits than its factorization.

144712320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 144712320 is about 12029.6433862355. The cubic root of 144712320 is about 525.0111199459.

Adding to 144712320 its reverse (23217441), we get a palindrome (167929761).

The spelling of 144712320 in words is "one hundred forty-four million, seven hundred twelve thousand, three hundred twenty".