133408704 has 224 divisors, whose sum is σ = 428085504. Its totient is φ = 36126720.

The previous prime is 133408703. The next prime is 133408727. The reversal of 133408704 is 407804331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133408703) 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, 1180552 + ... + 1180664.

It is an arithmetic number, because the mean of its divisors is an integer number (1911096).

Almost surely, 2^133408704 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 133408704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214042752).

133408704 is an abundant number, since it is smaller than the sum of its proper divisors (294676800).

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

133408704 is a wasteful number, since it uses less digits than its factorization.

133408704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 133408704 is about 11550.2685683061. The cubic root of 133408704 is about 510.9691988844.

The spelling of 133408704 in words is "one hundred thirty-three million, four hundred eight thousand, seven hundred four".