135164004165 has 12 divisors (see below), whose sum is σ = 234284273964. Its totient is φ = 72087468864.

The previous prime is 135164004163. The next prime is 135164004187. The reversal of 135164004165 is 561400461531.

135164004165 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 640 + 0 + 4 + 1 + 6 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47774593476 + 87389410689 = 218574^2 + 295617^2 .

It is not a de Polignac number, because 135164004165 - 2¹ = 135164004163 is a prime.

It is a super-2 number, since 2×135164004165² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135164004163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1501822224 + ... + 1501822313.

It is an arithmetic number, because the mean of its divisors is an integer number (19523689497).

Almost surely, 2^135164004165 is an apocalyptic number.

135164004165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135164004165 is a deficient number, since it is larger than the sum of its proper divisors (99120269799).

135164004165 is a wasteful number, since it uses less digits than its factorization.

135164004165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3003644548 (or 3003644545 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 135164004165 its reverse (561400461531), we get a palindrome (696564465696).

The spelling of 135164004165 in words is "one hundred thirty-five billion, one hundred sixty-four million, four thousand, one hundred sixty-five".