135106110135 has 16 divisors (see below), whose sum is σ = 240188640480. Its totient is φ = 72056592000.

The previous prime is 135106110091. The next prime is 135106110137. The reversal of 135106110135 is 531011601531.

It is a happy number.

135106110135 is a `hidden beast` number, since 1 + 3 + 5 + 10 + 611 + 0 + 1 + 35 = 666.

It is not a de Polignac number, because 135106110135 - 2²⁹ = 134569239223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 135106110099 and 135106110108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135106110137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 500392866 + ... + 500393135.

It is an arithmetic number, because the mean of its divisors is an integer number (15011790030).

Almost surely, 2^135106110135 is an apocalyptic number.

135106110135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135106110135 is a deficient number, since it is larger than the sum of its proper divisors (105082530345).

135106110135 is a wasteful number, since it uses less digits than its factorization.

135106110135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000786015 (or 1000786009 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

Adding to 135106110135 its reverse (531011601531), we get a palindrome (666117711666).

The spelling of 135106110135 in words is "one hundred thirty-five billion, one hundred six million, one hundred ten thousand, one hundred thirty-five".