133328960 has 56 divisors (see below), whose sum is σ = 336179160. Its totient is φ = 50192384.

The previous prime is 133328957. The next prime is 133328969. The reversal of 133328960 is 69823331.

It can be written as a sum of positive squares in 4 ways, for example, as 58125376 + 75203584 = 7624^2 + 8672^2 .

It is a super-2 number, since 2×133328960² = 35553223149363200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 133328960.

It is not an unprimeable number, because it can be changed into a prime (133328969) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6815 + ... + 17694.

Almost surely, 2^133328960 is an apocalyptic number.

133328960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133328960 is an abundant number, since it is smaller than the sum of its proper divisors (202850200).

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

133328960 is a wasteful number, since it uses less digits than its factorization.

133328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24543 (or 24533 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 35.

The square root of 133328960 is about 11546.8160113514. The cubic root of 133328960 is about 510.8673693237.

The spelling of 133328960 in words is "one hundred thirty-three million, three hundred twenty-eight thousand, nine hundred sixty".