133280 has 72 divisors (see below), whose sum is σ = 387828. Its totient is φ = 43008.

The previous prime is 133279. The next prime is 133283. The reversal of 133280 is 82331.

133280 = T₇₁ + T₇₂ + ... + T₁₀₄.

133280 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 2 ways, for example, as 132496 + 784 = 364^2 + 28^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (133283) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7832 + ... + 7848.

2¹³³²⁸⁰ is an apocalyptic number.

133280 is a gapful number since it is divisible by the number (10) 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 133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193914).

133280 is an abundant number, since it is smaller than the sum of its proper divisors (254548).

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

133280 is a wasteful number, since it uses less digits than its factorization.

133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 133280 is about 365.0753346913. The cubic root of 133280 is about 51.0804829451.

The spelling of 133280 in words is "one hundred thirty-three thousand, two hundred eighty".