135656133001041 has 32 divisors (see below), whose sum is σ = 201697690896000. Its totient is φ = 80596326343680.

The previous prime is 135656133001027. The next prime is 135656133001049. The reversal of 135656133001041 is 140100331656531.

It is not a de Polignac number, because 135656133001041 - 2³⁰ = 135655059259217 is a prime.

It is a super-2 number, since 2×135656133001041² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135656133001049) 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 31 ways as a sum of consecutive naturals, for example, 34026250 + ... + 37803411.

It is an arithmetic number, because the mean of its divisors is an integer number (6303052840500).

Almost surely, 2^{135656133001041} is an apocalyptic number.

It is an amenable number.

135656133001041 is a deficient number, since it is larger than the sum of its proper divisors (66041557894959).

135656133001041 is a wasteful number, since it uses less digits than its factorization.

135656133001041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71831649.

The product of its (nonzero) digits is 97200, while the sum is 39.

Adding to 135656133001041 its reverse (140100331656531), we get a palindrome (275756464657572).

The spelling of 135656133001041 in words is "one hundred thirty-five trillion, six hundred fifty-six billion, one hundred thirty-three million, one thousand, forty-one".