133684992 has 216 divisors, whose sum is σ = 458313856. Its totient is φ = 38071296.

The previous prime is 133684987. The next prime is 133684997. The reversal of 133684992 is 299486331.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (133684987) and next prime (133684997).

It is a tau number, because it is divible by the number of its divisors (216).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133684997) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 435303 + ... + 435609.

Almost surely, 2^133684992 is an apocalyptic number.

133684992 is a gapful number since it is divisible by the number (12) 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 133684992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229156928).

133684992 is an abundant number, since it is smaller than the sum of its proper divisors (324628864).

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

133684992 is an frugal number, since it uses more digits than its factorization.

133684992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 319 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 133684992 is about 11562.2226237000. Note that the first 3 decimals coincide. The cubic root of 133684992 is about 511.3216929089.

The spelling of 133684992 in words is "one hundred thirty-three million, six hundred eighty-four thousand, nine hundred ninety-two".