144716320 has 96 divisors (see below), whose sum is σ = 393700608. Its totient is φ = 49241088.

The previous prime is 144716311. The next prime is 144716329. The reversal of 144716320 is 23617441.

It is an interprime number because it is at equal distance from previous prime (144716311) and next prime (144716329).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144716329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175429 + ... + 176251.

It is an arithmetic number, because the mean of its divisors is an integer number (4101048).

Almost surely, 2^144716320 is an apocalyptic number.

144716320 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 144716320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196850304).

144716320 is an abundant number, since it is smaller than the sum of its proper divisors (248984288).

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

144716320 is a wasteful number, since it uses less digits than its factorization.

144716320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 144716320 is about 12029.8096410542. The cubic root of 144716320 is about 525.0159571869.

The spelling of 144716320 in words is "one hundred forty-four million, seven hundred sixteen thousand, three hundred twenty".