144800819 has 2 divisors, whose sum is σ = 144800820. Its totient is φ = 144800818.

The previous prime is 144800731. The next prime is 144800833. The reversal of 144800819 is 918008441.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 144800819 - 2¹² = 144796723 is a prime.

It is a super-2 number, since 2×144800819² = 41934554366141522, which contains 22 as substring.

It is a zygodrome in base 6.

It is not a weakly prime, because it can be changed into another prime (144800839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72400409 + 72400410.

It is an arithmetic number, because the mean of its divisors is an integer number (72400410).

Almost surely, 2^144800819 is an apocalyptic number.

144800819 is a deficient number, since it is larger than the sum of its proper divisors (1).

144800819 is an equidigital number, since it uses as much as digits as its factorization.

144800819 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 144800819 is about 12033.3211957464. The cubic root of 144800819 is about 525.1181218718.

The spelling of 144800819 in words is "one hundred forty-four million, eight hundred thousand, eight hundred nineteen".