133591680 has 192 divisors, whose sum is σ = 478951200. Its totient is φ = 35582976.

The previous prime is 133591657. The next prime is 133591687. The reversal of 133591680 is 86195331.

It is a happy number.

133591680 is a `hidden beast` number, since 1 + 3 + 3 + 591 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (133591687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155091 + ... + 155949.

Almost surely, 2^133591680 is an apocalyptic number.

133591680 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 133591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239475600).

133591680 is an abundant number, since it is smaller than the sum of its proper divisors (345359520).

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

133591680 is an frugal number, since it uses more digits than its factorization.

133591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 893 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 133591680 is about 11558.1867089955. The cubic root of 133591680 is about 511.2026978632.

The spelling of 133591680 in words is "one hundred thirty-three million, five hundred ninety-one thousand, six hundred eighty".