164038133 has 12 divisors (see below), whose sum is σ = 192576780. Its totient is φ = 139309632.

The previous prime is 164038111. The next prime is 164038201. The reversal of 164038133 is 331830461.

It can be written as a sum of positive squares in 2 ways, for example, as 132756484 + 31281649 = 11522^2 + 5593^2 .

It is not a de Polignac number, because 164038133 - 2¹⁶ = 163972597 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164038096 and 164038105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164038103) 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, 10016 + ... + 20697.

It is an arithmetic number, because the mean of its divisors is an integer number (16048065).

Almost surely, 2^164038133 is an apocalyptic number.

It is an amenable number.

164038133 is a deficient number, since it is larger than the sum of its proper divisors (28538647).

164038133 is a wasteful number, since it uses less digits than its factorization.

164038133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30836 (or 30829 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 164038133 is about 12807.7372318454. The cubic root of 164038133 is about 547.4127887332.

Adding to 164038133 its reverse (331830461), we get a palindrome (495868594).

The spelling of 164038133 in words is "one hundred sixty-four million, thirty-eight thousand, one hundred thirty-three".