133015504 has 30 divisors (see below), whose sum is σ = 272007330. Its totient is φ = 63004608.

The previous prime is 133015501. The next prime is 133015543. The reversal of 133015504 is 405510331.

133015504 = 418² + 419² + ... + 778².

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129960000 + 3055504 = 11400^2 + 1748^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133015501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5739 + ... + 17290.

It is an arithmetic number, because the mean of its divisors is an integer number (9066911).

Almost surely, 2^133015504 is an apocalyptic number.

It is an amenable number.

133015504 is an abundant number, since it is smaller than the sum of its proper divisors (138991826).

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

133015504 is a wasteful number, since it uses less digits than its factorization.

133015504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23075 (or 23050 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 133015504 is about 11533.2347587310. The cubic root of 133015504 is about 510.4667059365.

Adding to 133015504 its reverse (405510331), we get a palindrome (538525835).

The spelling of 133015504 in words is "one hundred thirty-three million, fifteen thousand, five hundred four".