133312608 has 288 divisors, whose sum is σ = 464849280. Its totient is φ = 36840960.

The previous prime is 133312603. The next prime is 133312609. The reversal of 133312608 is 806213331.

It is a happy number.

133312608 is a `hidden beast` number, since 13 + 33 + 12 + 608 = 666.

133312608 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133312603) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1606135 + ... + 1606217.

It is an arithmetic number, because the mean of its divisors is an integer number (1614060).

Almost surely, 2^133312608 is an apocalyptic number.

133312608 is a gapful number since it is divisible by the number (18) 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 133312608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232424640).

133312608 is an abundant number, since it is smaller than the sum of its proper divisors (331536672).

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

133312608 is a wasteful number, since it uses less digits than its factorization.

133312608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 133312608 is about 11546.1079156571. The cubic root of 133312608 is about 510.8464835267.

Adding to 133312608 its reverse (806213331), we get a palindrome (939525939).

The spelling of 133312608 in words is "one hundred thirty-three million, three hundred twelve thousand, six hundred eight".