133560 has 96 divisors (see below), whose sum is σ = 505440. Its totient is φ = 29952.

The previous prime is 133559. The next prime is 133571. The reversal of 133560 is 65331.

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

It is a congruent number.

It is an unprimeable 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, 2494 + ... + 2546.

It is an arithmetic number, because the mean of its divisors is an integer number (5265).

2¹³³⁵⁶⁰ is an apocalyptic number.

133560 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 133560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252720).

133560 is an abundant number, since it is smaller than the sum of its proper divisors (371880).

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

133560 is a wasteful number, since it uses less digits than its factorization.

133560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 70 counting only the distinct ones).

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

The square root of 133560 is about 365.4586159882. The cubic root of 133560 is about 51.1162285711.

Adding to 133560 its reverse (65331), we get a palindrome (198891).

The spelling of 133560 in words is "one hundred thirty-three thousand, five hundred sixty".