133664960 has 224 divisors, whose sum is σ = 393265152. Its totient is φ = 42577920.

The previous prime is 133664959. The next prime is 133664977. The reversal of 133664960 is 69466331.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1052417 + ... + 1052543.

It is an arithmetic number, because the mean of its divisors is an integer number (1755648).

Almost surely, 2^133664960 is an apocalyptic number.

133664960 is a gapful number since it is divisible by the number (10) 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 133664960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196632576).

133664960 is an abundant number, since it is smaller than the sum of its proper divisors (259600192).

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

133664960 is a wasteful number, since it uses less digits than its factorization.

133664960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The square root of 133664960 is about 11561.3563218162. The cubic root of 133664960 is about 511.2961520020.

The spelling of 133664960 in words is "one hundred thirty-three million, six hundred sixty-four thousand, nine hundred sixty".