144800401 has 2 divisors, whose sum is σ = 144800402. Its totient is φ = 144800400.

The previous prime is 144800377. The next prime is 144800423. The reversal of 144800401 is 104008441.

It is an a-pointer prime, because the next prime (144800423) can be obtained adding 144800401 to its sum of digits (22).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 116964225 + 27836176 = 10815^2 + 5276^2 .

It is a cyclic number.

It is not a de Polignac number, because 144800401 - 2¹⁹ = 144276113 is a prime.

It is a super-2 number, since 2×144800401² = 41934312259521602, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (144800431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72400200 + 72400201.

It is an arithmetic number, because the mean of its divisors is an integer number (72400201).

Almost surely, 2^144800401 is an apocalyptic number.

It is an amenable number.

144800401 is a deficient number, since it is larger than the sum of its proper divisors (1).

144800401 is an equidigital number, since it uses as much as digits as its factorization.

144800401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 144800401 is about 12033.3038272953. The cubic root of 144800401 is about 525.1176165809.

Adding to 144800401 its reverse (104008441), we get a palindrome (248808842).

The spelling of 144800401 in words is "one hundred forty-four million, eight hundred thousand, four hundred one".