133456 has 20 divisors (see below), whose sum is σ = 272800. Its totient is φ = 63072.

The previous prime is 133451. The next prime is 133481. The reversal of 133456 is 654331.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85 + ... + 523.

It is an arithmetic number, because the mean of its divisors is an integer number (13640).

2¹³³⁴⁵⁶ is an apocalyptic number.

133456 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 133456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136400).

133456 is an abundant number, since it is smaller than the sum of its proper divisors (139344).

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

133456 is a wasteful number, since it uses less digits than its factorization.

133456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its digits is 1080, while the sum is 22.

The square root of 133456 is about 365.3163013061. The cubic root of 133456 is about 51.1029574615.

Adding to 133456 its reverse (654331), we get a palindrome (787787).

The spelling of 133456 in words is "one hundred thirty-three thousand, four hundred fifty-six".