133415680 has 36 divisors (see below), whose sum is σ = 319575312. Its totient is φ = 53365760.

The previous prime is 133415651. The next prime is 133415683. The reversal of 133415680 is 86514331.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (133415683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 50836 + ... + 53395.

It is an arithmetic number, because the mean of its divisors is an integer number (8877092).

Almost surely, 2^133415680 is an apocalyptic number.

133415680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133415680 is an abundant number, since it is smaller than the sum of its proper divisors (186159632).

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

133415680 is an equidigital number, since it uses as much as digits as its factorization.

133415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104252 (or 104238 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 133415680 is about 11550.5705486785. The cubic root of 133415680 is about 510.9781049974.

The spelling of 133415680 in words is "one hundred thirty-three million, four hundred fifteen thousand, six hundred eighty".