133764 has 24 divisors (see below), whose sum is σ = 318528. Its totient is φ = 43680.

The previous prime is 133733. The next prime is 133769. The reversal of 133764 is 467331.

It is a d-powerful number, because it can be written as 1 + 3⁸ + 7⁴ + 3¹⁰ + 6³ + 4⁸ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 774 + ... + 930.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2¹³³⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

133764 is an abundant number, since it is smaller than the sum of its proper divisors (184764).

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

133764 is a wasteful number, since it uses less digits than its factorization.

133764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 233 counting only the distinct ones).

The product of its digits is 1512, while the sum is 24.

The square root of 133764 is about 365.7376108633. The cubic root of 133764 is about 51.1422403661.

The spelling of 133764 in words is "one hundred thirty-three thousand, seven hundred sixty-four".