135242411420205 has 48 divisors (see below), whose sum is σ = 246805210379520. Its totient is φ = 68319957492864.

The previous prime is 135242411420201. The next prime is 135242411420231. The reversal of 135242411420205 is 502024114242531.

135242411420205 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 4 + 24 + 1 + 1 + 420 + 205 = 666.

It is not a de Polignac number, because 135242411420205 - 2² = 135242411420201 is a prime.

It is a super-3 number, since 3×135242411420205³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135242411420205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135242411420201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10624357 + ... + 19579626.

It is an arithmetic number, because the mean of its divisors is an integer number (5141775216240).

Almost surely, 2^{135242411420205} is an apocalyptic number.

135242411420205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135242411420205 is a deficient number, since it is larger than the sum of its proper divisors (111562798959315).

135242411420205 is a wasteful number, since it uses less digits than its factorization.

135242411420205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30209250 (or 30209247 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 135242411420205 its reverse (502024114242531), we get a palindrome (637266525662736).

The spelling of 135242411420205 in words is "one hundred thirty-five trillion, two hundred forty-two billion, four hundred eleven million, four hundred twenty thousand, two hundred five".