135111225226041 has 24 divisors (see below), whose sum is σ = 199315173657600. Its totient is φ = 88156723239936.

The previous prime is 135111225225989. The next prime is 135111225226073. The reversal of 135111225226041 is 140622522111531.

135111225226041 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 1 + 1 + 2 + 25 + 22 + 604 + 1 = 666.

It is not a de Polignac number, because 135111225226041 - 2¹³ = 135111225217849 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135111225225987 and 135111225226005.

It is not an unprimeable number, because it can be changed into a prime (135111225226741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38437336 + ... + 41804918.

It is an arithmetic number, because the mean of its divisors is an integer number (8304798902400).

Almost surely, 2^{135111225226041} is an apocalyptic number.

It is an amenable number.

135111225226041 is a deficient number, since it is larger than the sum of its proper divisors (64203948431559).

135111225226041 is a wasteful number, since it uses less digits than its factorization.

135111225226041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3462485 (or 3462482 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 135111225226041 its reverse (140622522111531), we get a palindrome (275733747337572).

The spelling of 135111225226041 in words is "one hundred thirty-five trillion, one hundred eleven billion, two hundred twenty-five million, two hundred twenty-six thousand, forty-one".