133456680 has 256 divisors, whose sum is σ = 516096000. Its totient is φ = 30046464.

The previous prime is 133456679. The next prime is 133456691. The reversal of 133456680 is 86654331.

133456680 is a `hidden beast` number, since 13 + 3 + 4 + 566 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 960051 + ... + 960189.

It is an arithmetic number, because the mean of its divisors is an integer number (2016000).

Almost surely, 2^133456680 is an apocalyptic number.

133456680 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 133456680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258048000).

133456680 is an abundant number, since it is smaller than the sum of its proper divisors (382639320).

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

133456680 is a wasteful number, since it uses less digits than its factorization.

133456680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 133456680 is about 11552.3452164485. The cubic root of 133456680 is about 511.0304425653.

The spelling of 133456680 in words is "one hundred thirty-three million, four hundred fifty-six thousand, six hundred eighty".