133722 has 48 divisors (see below), whose sum is σ = 336960. Its totient is φ = 38016.

The previous prime is 133717. The next prime is 133723. The reversal of 133722 is 227331.

133722 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 1 + 3 + 7⁴ + 3⁵ + 2 + 2¹⁷ .

It is a junction number, because it is equal to n+sod(n) for n = 133695 and 133704.

It is not an unprimeable number, because it can be changed into a prime (133723) by changing a digit.

133722 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 23 ways as a sum of consecutive naturals, for example, 5803 + ... + 5825.

It is an arithmetic number, because the mean of its divisors is an integer number (7020).

2¹³³⁷²² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168480).

133722 is an abundant number, since it is smaller than the sum of its proper divisors (203238).

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

133722 is a wasteful number, since it uses less digits than its factorization.

133722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 64 counting only the distinct ones).

The product of its digits is 252, while the sum is 18.

The square root of 133722 is about 365.6801881426. The cubic root of 133722 is about 51.1368871596.

The spelling of 133722 in words is "one hundred thirty-three thousand, seven hundred twenty-two".