133126164 has 18 divisors (see below), whose sum is σ = 336513450. Its totient is φ = 44375376.

The previous prime is 133126163. The next prime is 133126177. The reversal of 133126164 is 461621331.

133126164 is a `hidden beast` number, since 1 + 33 + 12 + 616 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 127509264 + 5616900 = 11292^2 + 2370^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133126163) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1848939 + ... + 1849010.

Almost surely, 2^133126164 is an apocalyptic number.

It is an amenable number.

133126164 is an abundant number, since it is smaller than the sum of its proper divisors (203387286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133126164 is a wasteful number, since it uses less digits than its factorization.

133126164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3697959 (or 3697954 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 133126164 is about 11538.0312012059. The cubic root of 133126164 is about 510.6082247480.

Adding to 133126164 its reverse (461621331), we get a palindrome (594747495).

It can be divided in two parts, 1331 and 26164, that added together give a triangular number (27495 = T₂₃₄).

The spelling of 133126164 in words is "one hundred thirty-three million, one hundred twenty-six thousand, one hundred sixty-four".