144807727681 has 8 divisors (see below), whose sum is σ = 148616890344. Its totient is φ = 141038451840.

The previous prime is 144807727637. The next prime is 144807727717. The reversal of 144807727681 is 186727708441.

It can be written as a sum of positive squares in 4 ways, for example, as 10845139600 + 133962588081 = 104140^2 + 366009^2 .

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 144807727681 - 2²³ = 144799339073 is a prime.

It is a super-2 number, since 2×144807727681² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (144807722681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9964350 + ... + 9978871.

It is an arithmetic number, because the mean of its divisors is an integer number (18577111293).

Almost surely, 2^144807727681 is an apocalyptic number.

It is an amenable number.

144807727681 is a deficient number, since it is larger than the sum of its proper divisors (3809162663).

144807727681 is a wasteful number, since it uses less digits than its factorization.

144807727681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19943411.

The product of its (nonzero) digits is 4214784, while the sum is 55.

The spelling of 144807727681 in words is "one hundred forty-four billion, eight hundred seven million, seven hundred twenty-seven thousand, six hundred eighty-one".