133503520 has 48 divisors (see below), whose sum is σ = 317399040. Its totient is φ = 53063424.

The previous prime is 133503509. The next prime is 133503521. The reversal of 133503520 is 25305331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133503491 and 133503500.

It is not an unprimeable number, because it can be changed into a prime (133503521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23521 + ... + 28639.

It is an arithmetic number, because the mean of its divisors is an integer number (6612480).

Almost surely, 2^133503520 is an apocalyptic number.

133503520 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 133503520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158699520).

133503520 is an abundant number, since it is smaller than the sum of its proper divisors (183895520).

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

133503520 is a wasteful number, since it uses less digits than its factorization.

133503520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5289 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 22.

The square root of 133503520 is about 11554.3723325848. The cubic root of 133503520 is about 511.0902219286.

Adding to 133503520 its reverse (25305331), we get a palindrome (158808851).

The spelling of 133503520 in words is "one hundred thirty-three million, five hundred three thousand, five hundred twenty".