144315720092129 has 2 divisors, whose sum is σ = 144315720092130. Its totient is φ = 144315720092128.

The previous prime is 144315720092083. The next prime is 144315720092143. The reversal of 144315720092129 is 921290027513441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74888946745600 + 69426773346529 = 8653840^2 + 8332273^2 .

It is a cyclic number.

It is not a de Polignac number, because 144315720092129 - 2¹⁶ = 144315720026593 is a prime.

It is not a weakly prime, because it can be changed into another prime (144315720092029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72157860046064 + 72157860046065.

It is an arithmetic number, because the mean of its divisors is an integer number (72157860046065).

Almost surely, 2^{144315720092129} is an apocalyptic number.

It is an amenable number.

144315720092129 is a deficient number, since it is larger than the sum of its proper divisors (1).

144315720092129 is an equidigital number, since it uses as much as digits as its factorization.

144315720092129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 144315720092129 in words is "one hundred forty-four trillion, three hundred fifteen billion, seven hundred twenty million, ninety-two thousand, one hundred twenty-nine".