133784064 has 60 divisors (see below), whose sum is σ = 386123166. Its totient is φ = 44593152.

The previous prime is 133784029. The next prime is 133784069. The reversal of 133784064 is 460487331.

It can be written as a sum of positive squares in only one way, i.e., 120824064 + 12960000 = 10992^2 + 3600^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133784069) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9909 + ... + 19124.

Almost surely, 2^133784064 is an apocalyptic number.

It is an amenable number.

133784064 is an abundant number, since it is smaller than the sum of its proper divisors (252339102).

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

133784064 is an equidigital number, since it uses as much as digits as its factorization.

133784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29057 (or 29038 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 133784064 is about 11566.5061276083. The cubic root of 133784064 is about 511.4479727385.

The spelling of 133784064 in words is "one hundred thirty-three million, seven hundred eighty-four thousand, sixty-four".