133872 has 20 divisors (see below), whose sum is σ = 345960. Its totient is φ = 44608.

The previous prime is 133853. The next prime is 133873. The reversal of 133872 is 278331.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133873) by changing a digit.

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, 1347 + ... + 1442.

It is an arithmetic number, because the mean of its divisors is an integer number (17298).

2¹³³⁸⁷² is an apocalyptic number.

133872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133872 is an abundant number, since it is smaller than the sum of its proper divisors (212088).

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

133872 is a wasteful number, since it uses less digits than its factorization.

133872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2800 (or 2794 counting only the distinct ones).

The product of its digits is 1008, while the sum is 24.

The square root of 133872 is about 365.8852279062. The cubic root of 133872 is about 51.1560006108.

The spelling of 133872 in words is "one hundred thirty-three thousand, eight hundred seventy-two".