133520 has 20 divisors (see below), whose sum is σ = 310620. Its totient is φ = 53376.

The previous prime is 133519. The next prime is 133541. The reversal of 133520 is 25331.

It can be written as a sum of positive squares in 2 ways, for example, as 59536 + 73984 = 244^2 + 272^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 133495 and 133504.

It is an unprimeable number.

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, 755 + ... + 914.

It is an arithmetic number, because the mean of its divisors is an integer number (15531).

2¹³³⁵²⁰ is an apocalyptic number.

133520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133520 is an abundant number, since it is smaller than the sum of its proper divisors (177100).

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

133520 is a wasteful number, since it uses less digits than its factorization.

133520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 133520 is about 365.4038861315. The cubic root of 133520 is about 51.1111251138. Note that the first 4 decimals are identical.

Adding to 133520 its reverse (25331), we get a palindrome (158851).

The spelling of 133520 in words is "one hundred thirty-three thousand, five hundred twenty".