135201521624413 has 16 divisors (see below), whose sum is σ = 145856406967920. Its totient is φ = 124846869528576.

The previous prime is 135201521624399. The next prime is 135201521624431. The reversal of 135201521624413 is 314426125102531.

It can be written as a sum of positive squares in 8 ways, for example, as 32338477276249 + 102863044348164 = 5686693^2 + 10142142^2 .

It is a cyclic number.

It is not a de Polignac number, because 135201521624413 - 2²⁵ = 135201488069981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135201521628413) 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 in 15 ways as a sum of consecutive naturals, for example, 225650893 + ... + 226249261.

It is an arithmetic number, because the mean of its divisors is an integer number (9116025435495).

Almost surely, 2^{135201521624413} is an apocalyptic number.

It is an amenable number.

135201521624413 is a deficient number, since it is larger than the sum of its proper divisors (10654885343507).

135201521624413 is a wasteful number, since it uses less digits than its factorization.

135201521624413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849216.

The product of its (nonzero) digits is 172800, while the sum is 40.

Adding to 135201521624413 its reverse (314426125102531), we get a palindrome (449627646726944).

The spelling of 135201521624413 in words is "one hundred thirty-five trillion, two hundred one billion, five hundred twenty-one million, six hundred twenty-four thousand, four hundred thirteen".