144010314 has 144 divisors (see below), whose sum is σ = 392670720. Its totient is φ = 37920960.

The previous prime is 144010289. The next prime is 144010319. The reversal of 144010314 is 413010441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (144010319) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 628752 + ... + 628980.

It is an arithmetic number, because the mean of its divisors is an integer number (2726880).

Almost surely, 2^144010314 is an apocalyptic number.

144010314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144010314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196335360).

144010314 is an abundant number, since it is smaller than the sum of its proper divisors (248660406).

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

144010314 is a wasteful number, since it uses less digits than its factorization.

144010314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 144010314 is about 12000.4297423051. The cubic root of 144010314 is about 524.1607925832.

Adding to 144010314 its reverse (413010441), we get a palindrome (557020755).

The spelling of 144010314 in words is "one hundred forty-four million, ten thousand, three hundred fourteen".