135415521042221 has 16 divisors (see below), whose sum is σ = 154944856433664. Its totient is φ = 115932259463424.

The previous prime is 135415521042181. The next prime is 135415521042251. The reversal of 135415521042221 is 122240125514531.

It is a cyclic number.

It is not a de Polignac number, because 135415521042221 - 2¹⁰ = 135415521041197 is a prime.

It is a super-3 number, since 3×135415521042221³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135415521042251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198607925 + ... + 199288581.

It is an arithmetic number, because the mean of its divisors is an integer number (9684053527104).

Almost surely, 2^{135415521042221} is an apocalyptic number.

It is an amenable number.

135415521042221 is a deficient number, since it is larger than the sum of its proper divisors (19529335391443).

135415521042221 is an equidigital number, since it uses as much as digits as its factorization.

135415521042221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714460.

The product of its (nonzero) digits is 96000, while the sum is 38.

Adding to 135415521042221 its reverse (122240125514531), we get a palindrome (257655646556752).

The spelling of 135415521042221 in words is "one hundred thirty-five trillion, four hundred fifteen billion, five hundred twenty-one million, forty-two thousand, two hundred twenty-one".