133090208 has 48 divisors (see below), whose sum is σ = 270050760. Its totient is φ = 64536576.

The previous prime is 133090201. The next prime is 133090219. The reversal of 133090208 is 802090331.

It can be written as a sum of positive squares in 4 ways, for example, as 132066064 + 1024144 = 11492^2 + 1012^2 .

It is not an unprimeable number, because it can be changed into a prime (133090201) 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, 164108 + ... + 164916.

Almost surely, 2^133090208 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 133090208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135025380).

133090208 is an abundant number, since it is smaller than the sum of its proper divisors (136960552).

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

133090208 is an equidigital number, since it uses as much as digits as its factorization.

133090208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 961 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 133090208 is about 11536.4729445355. The cubic root of 133090208 is about 510.5622506086.

The spelling of 133090208 in words is "one hundred thirty-three million, ninety thousand, two hundred eight".