133364 has 24 divisors (see below), whose sum is σ = 291648. Its totient is φ = 51840.

The previous prime is 133351. The next prime is 133379. The reversal of 133364 is 463331.

133364 = T₁₆ + T₁₇ + ... + T₉₂.

It is a congruent number.

It is an unprimeable number.

133364 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 92 + ... + 524.

It is an arithmetic number, because the mean of its divisors is an integer number (12152).

2¹³³³⁶⁴ is an apocalyptic number.

133364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

133364 is an abundant number, since it is smaller than the sum of its proper divisors (158284).

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

133364 is a wasteful number, since it uses less digits than its factorization.

133364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its digits is 648, while the sum is 20.

The square root of 133364 is about 365.1903613186. The cubic root of 133364 is about 51.0912118853.

Adding to 133364 its reverse (463331), we get a palindrome (596695).

The spelling of 133364 in words is "one hundred thirty-three thousand, three hundred sixty-four".