133290336 has 192 divisors, whose sum is σ = 399748608. Its totient is φ = 38658048.

The previous prime is 133290277. The next prime is 133290337. The reversal of 133290336 is 633092331.

133290336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133290337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989375 + ... + 1989441.

It is an arithmetic number, because the mean of its divisors is an integer number (2082024).

Almost surely, 2^133290336 is an apocalyptic number.

133290336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133290336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199874304).

133290336 is an abundant number, since it is smaller than the sum of its proper divisors (266458272).

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

133290336 is a wasteful number, since it uses less digits than its factorization.

133290336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 30.

The square root of 133290336 is about 11545.1433945188. The cubic root of 133290336 is about 510.8180335881.

The spelling of 133290336 in words is "one hundred thirty-three million, two hundred ninety thousand, three hundred thirty-six".