133680960 has 336 divisors, whose sum is σ = 554736000. Its totient is φ = 28864512.

The previous prime is 133680913. The next prime is 133680971. The reversal of 133680960 is 69086331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 382866 + ... + 383214.

It is an arithmetic number, because the mean of its divisors is an integer number (1651000).

Almost surely, 2^133680960 is an apocalyptic number.

133680960 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 133680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277368000).

133680960 is an abundant number, since it is smaller than the sum of its proper divisors (421055040).

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

133680960 is a wasteful number, since it uses less digits than its factorization.

133680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 133680960 is about 11562.0482614457. The cubic root of 133680960 is about 511.3165522925.

The spelling of 133680960 in words is "one hundred thirty-three million, six hundred eighty thousand, nine hundred sixty".