144800513 has 8 divisors (see below), whose sum is σ = 170115456. Its totient is φ = 121510800.

The previous prime is 144800503. The next prime is 144800527. The reversal of 144800513 is 315008441.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 144800513 - 2⁴ = 144800497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144800503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 506153 + ... + 506438.

It is an arithmetic number, because the mean of its divisors is an integer number (21264432).

Almost surely, 2^144800513 is an apocalyptic number.

144800513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

144800513 is a deficient number, since it is larger than the sum of its proper divisors (25314943).

144800513 is a wasteful number, since it uses less digits than its factorization.

144800513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012615.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 144800513 is about 12033.3084810454. The cubic root of 144800513 is about 525.1177519700.

Adding to 144800513 its reverse (315008441), we get a palindrome (459808954).

The spelling of 144800513 in words is "one hundred forty-four million, eight hundred thousand, five hundred thirteen".