135405205101 has 12 divisors (see below), whose sum is σ = 195638535612. Its totient is φ = 90245564736.

The previous prime is 135405205097. The next prime is 135405205109. The reversal of 135405205101 is 101502504531.

135405205101 is a `hidden beast` number, since 1 + 35 + 4 + 0 + 520 + 5 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 76731770025 + 58673435076 = 277005^2 + 242226^2 .

It is not a de Polignac number, because 135405205101 - 2² = 135405205097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135405205109) 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, 2012736 + ... + 2078921.

It is an arithmetic number, because the mean of its divisors is an integer number (16303211301).

Almost surely, 2^135405205101 is an apocalyptic number.

It is an amenable number.

135405205101 is a deficient number, since it is larger than the sum of its proper divisors (60233330511).

135405205101 is a wasteful number, since it uses less digits than its factorization.

135405205101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4095340 (or 4095337 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 135405205101 its reverse (101502504531), we get a palindrome (236907709632).

The spelling of 135405205101 in words is "one hundred thirty-five billion, four hundred five million, two hundred five thousand, one hundred one".