133288608 has 48 divisors (see below), whose sum is σ = 351691200. Its totient is φ = 44199936.

The previous prime is 133288607. The next prime is 133288609. The reversal of 133288608 is 806882331.

It is an interprime number because it is at equal distance from previous prime (133288607) and next prime (133288609).

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (133288607) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15616 + ... + 22592.

It is an arithmetic number, because the mean of its divisors is an integer number (7326900).

Almost surely, 2^133288608 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 133288608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175845600).

133288608 is an abundant number, since it is smaller than the sum of its proper divisors (218402592).

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

133288608 is a wasteful number, since it uses less digits than its factorization.

133288608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7189 (or 7181 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 133288608 is about 11545.0685576137. The cubic root of 133288608 is about 510.8158261328.

The spelling of 133288608 in words is "one hundred thirty-three million, two hundred eighty-eight thousand, six hundred eight".