144800825101 has 2 divisors, whose sum is σ = 144800825102. Its totient is φ = 144800825100.

The previous prime is 144800825077. The next prime is 144800825161. The reversal of 144800825101 is 101528008441.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 133319916900 + 11480908201 = 365130^2 + 107149^2 .

It is a cyclic number.

It is not a de Polignac number, because 144800825101 - 2⁵ = 144800825069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144800825161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72400412550 + 72400412551.

It is an arithmetic number, because the mean of its divisors is an integer number (72400412551).

Almost surely, 2^144800825101 is an apocalyptic number.

It is an amenable number.

144800825101 is a deficient number, since it is larger than the sum of its proper divisors (1).

144800825101 is an equidigital number, since it uses as much as digits as its factorization.

144800825101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10240, while the sum is 34.

The spelling of 144800825101 in words is "one hundred forty-four billion, eight hundred million, eight hundred twenty-five thousand, one hundred one".