133563504 has 80 divisors (see below), whose sum is σ = 356124032. Its totient is φ = 43110144.

The previous prime is 133563503. The next prime is 133563541. The reversal of 133563504 is 405365331.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133563503) 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 15 ways as a sum of consecutive naturals, for example, 336234 + ... + 336630.

Almost surely, 2^133563504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133563504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178062016).

133563504 is an abundant number, since it is smaller than the sum of its proper divisors (222560528).

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

133563504 is a wasteful number, since it uses less digits than its factorization.

133563504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 133563504 is about 11556.9677684071. The cubic root of 133563504 is about 511.1667558545.

The spelling of 133563504 in words is "one hundred thirty-three million, five hundred sixty-three thousand, five hundred four".