144300129799153 has 2 divisors, whose sum is σ = 144300129799154. Its totient is φ = 144300129799152.

The previous prime is 144300129799039. The next prime is 144300129799169. The reversal of 144300129799153 is 351997921003441.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144065455436529 + 234674362624 = 12002727^2 + 484432^2 .

It is a cyclic number.

It is not a de Polignac number, because 144300129799153 - 2²¹ = 144300127702001 is a prime.

It is not a weakly prime, because it can be changed into another prime (144300129799193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72150064899576 + 72150064899577.

It is an arithmetic number, because the mean of its divisors is an integer number (72150064899577).

Almost surely, 2^{144300129799153} is an apocalyptic number.

It is an amenable number.

144300129799153 is a deficient number, since it is larger than the sum of its proper divisors (1).

144300129799153 is an equidigital number, since it uses as much as digits as its factorization.

144300129799153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 144300129799153 in words is "one hundred forty-four trillion, three hundred billion, one hundred twenty-nine million, seven hundred ninety-nine thousand, one hundred fifty-three".