135242431041141 has 12 divisors (see below), whose sum is σ = 195352550773068. Its totient is φ = 90160525646784.

The previous prime is 135242431041119. The next prime is 135242431041149. The reversal of 135242431041141 is 141140134242531.

135242431041141 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 42 + 431 + 0 + 41 + 141 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 130665954908241 + 4576476132900 = 11430921^2 + 2139270^2 .

It is a de Polignac number, because none of the positive numbers 2^k-135242431041141 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135242431041096 and 135242431041105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135242431041149) 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 11 ways as a sum of consecutive naturals, for example, 90471400 + ... + 91954113.

It is an arithmetic number, because the mean of its divisors is an integer number (16279379231089).

Almost surely, 2^{135242431041141} is an apocalyptic number.

It is an amenable number.

135242431041141 is a deficient number, since it is larger than the sum of its proper divisors (60110119731927).

135242431041141 is a wasteful number, since it uses less digits than its factorization.

135242431041141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182507892 (or 182507889 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 135242431041141 its reverse (141140134242531), we get a palindrome (276382565283672).

The spelling of 135242431041141 in words is "one hundred thirty-five trillion, two hundred forty-two billion, four hundred thirty-one million, forty-one thousand, one hundred forty-one".