133768608 has 96 divisors (see below), whose sum is σ = 364476672. Its totient is φ = 42931200.

The previous prime is 133768577. The next prime is 133768633. The reversal of 133768608 is 806867331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 133768608.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 310153 + ... + 310583.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^133768608 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 133768608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182238336).

133768608 is an abundant number, since it is smaller than the sum of its proper divisors (230708064).

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

133768608 is a wasteful number, since it uses less digits than its factorization.

133768608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 133768608 is about 11565.8379722353. The cubic root of 133768608 is about 511.4282762114.

The spelling of 133768608 in words is "one hundred thirty-three million, seven hundred sixty-eight thousand, six hundred eight".