133856 has 24 divisors (see below), whose sum is σ = 272160. Its totient is φ = 64768.

The previous prime is 133853. The next prime is 133873. The reversal of 133856 is 658331.

133856 = T₇₅ + T₇₆ + ... + T₁₀₆.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133853) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1460 + ... + 1548.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹³³⁸⁵⁶ is an apocalyptic number.

133856 is a gapful number since it is divisible by the number (16) 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 133856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

133856 is an abundant number, since it is smaller than the sum of its proper divisors (138304).

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

133856 is an equidigital number, since it uses as much as digits as its factorization.

133856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 133856 is about 365.8633624729. The cubic root of 133856 is about 51.1539625232.

It can be divided in two parts, 133 and 856, that added together give a palindrome (989).

The spelling of 133856 in words is "one hundred thirty-three thousand, eight hundred fifty-six".