133056 has 112 divisors (see below), whose sum is σ = 487680. Its totient is φ = 34560.

The previous prime is 133051. The next prime is 133069. The reversal of 133056 is 650331.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133051) by changing a digit.

133056 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12091 + ... + 12101.

2¹³³⁰⁵⁶ is an apocalyptic number.

133056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

133056 is the 231-st heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243840).

133056 is an abundant number, since it is smaller than the sum of its proper divisors (354624).

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

133056 is a wasteful number, since it uses less digits than its factorization.

133056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133056 is about 364.7684196857. The cubic root of 133056 is about 51.0518503814.

Adding to 133056 its reverse (650331), we get a palindrome (783387).

The spelling of 133056 in words is "one hundred thirty-three thousand, fifty-six".