144087589315201 has 81 divisors (see below), whose sum is σ = 187951358301129. Its totient is φ = 110100157445376.

The previous prime is 144087589315147. The next prime is 144087589315213. The reversal of 144087589315201 is 102513985780441.

It is a happy number.

The square root of 144087589315201 is 12003649.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 25227967335025 + 118859621980176 = 5022745^2 + 10902276^2 .

It is not a de Polignac number, because 144087589315201 - 2⁹ = 144087589314689 is a prime.

It is a super-2 number, since 2×144087589315201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144087589315231) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 27140247735 + ... + 27140253043.

Almost surely, 2^{144087589315201} is an apocalyptic number.

144087589315201 is the 12003649-th square number.

144087589315201 is the 6001825-th centered octagonal number.

It is an amenable number.

144087589315201 is a deficient number, since it is larger than the sum of its proper divisors (43863768985928).

144087589315201 is an frugal number, since it uses more digits than its factorization.

144087589315201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10704 (or 5352 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 58.

The spelling of 144087589315201 in words is "one hundred forty-four trillion, eighty-seven billion, five hundred eighty-nine million, three hundred fifteen thousand, two hundred one".