133531008 has 128 divisors (see below), whose sum is σ = 398926080. Its totient is φ = 39266304.

The previous prime is 133531001. The next prime is 133531019. The reversal of 133531008 is 800135331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133531001) 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, 114235 + ... + 115397.

It is an arithmetic number, because the mean of its divisors is an integer number (3116610).

Almost surely, 2^133531008 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 133531008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199463040).

133531008 is an abundant number, since it is smaller than the sum of its proper divisors (265395072).

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

133531008 is a wasteful number, since it uses less digits than its factorization.

133531008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1204 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 133531008 is about 11555.5617777761. The cubic root of 133531008 is about 511.1252968688.

Adding to 133531008 its reverse (800135331), we get a palindrome (933666339).

The spelling of 133531008 in words is "one hundred thirty-three million, five hundred thirty-one thousand, eight".