133970304 has 128 divisors (see below), whose sum is σ = 392071680. Its totient is φ = 40273920.

The previous prime is 133970279. The next prime is 133970323. The reversal of 133970304 is 403079331.

It is a tau number, because it is divible by the number of its divisors (128).

It is a zygodrome in base 2.

It is a congruent number.

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, 234339 + ... + 234909.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060).

Almost surely, 2^133970304 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 133970304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196035840).

133970304 is an abundant number, since it is smaller than the sum of its proper divisors (258101376).

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

133970304 is a wasteful number, since it uses less digits than its factorization.

133970304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 133970304 is about 11574.5541598802. The cubic root of 133970304 is about 511.6851905899.

The spelling of 133970304 in words is "one hundred thirty-three million, nine hundred seventy thousand, three hundred four".