133864 has 16 divisors (see below), whose sum is σ = 260100. Its totient is φ = 64512.

The previous prime is 133853. The next prime is 133873. The reversal of 133864 is 468331.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 16900 = 342^2 + 130^2 .

It is a super-4 number, since 4×133864⁴ (a number of 22 digits) contains 4444 as substring.

It is a plaindrome in base 9.

It is an unprimeable number.

133864 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 3 ways as a sum of consecutive naturals, for example, 57 + ... + 520.

2¹³³⁸⁶⁴ is an apocalyptic number.

It is an amenable number.

133864 is a deficient number, since it is larger than the sum of its proper divisors (126236).

133864 is a wasteful number, since it uses less digits than its factorization.

133864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 608 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 133864 is about 365.8742953529. The cubic root of 133864 is about 51.1549815873.

The spelling of 133864 in words is "one hundred thirty-three thousand, eight hundred sixty-four".