133583680 has 112 divisors (see below), whose sum is σ = 339425280. Its totient is φ = 49932288.

The previous prime is 133583629. The next prime is 133583683. The reversal of 133583680 is 86385331.

133583680 = T₆₄ + T₆₅ + ... + T₉₂₈.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133583683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 772074 + ... + 772246.

Almost surely, 2^133583680 is an apocalyptic number.

133583680 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 133583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169712640).

133583680 is an abundant number, since it is smaller than the sum of its proper divisors (205841600).

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

133583680 is a wasteful number, since it uses less digits than its factorization.

133583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 133583680 is about 11557.8406287680. The cubic root of 133583680 is about 511.1924933773.

The spelling of 133583680 in words is "one hundred thirty-three million, five hundred eighty-three thousand, six hundred eighty".