133682016 has 96 divisors (see below), whose sum is σ = 400202208. Its totient is φ = 38707200.

The previous prime is 133682009. The next prime is 133682047. The reversal of 133682016 is 610286331.

It is a tau number, because it is divible by the number of its divisors (96).

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 15 ways as a sum of consecutive naturals, for example, 18066 + ... + 24366.

It is an arithmetic number, because the mean of its divisors is an integer number (4168773).

Almost surely, 2^133682016 is an apocalyptic number.

133682016 is a gapful number since it is divisible by the number (16) 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 133682016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200101104).

133682016 is an abundant number, since it is smaller than the sum of its proper divisors (266520192).

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

133682016 is a wasteful number, since it uses less digits than its factorization.

133682016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6344 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 133682016 is about 11562.0939280046. The cubic root of 133682016 is about 511.3178986544.

The spelling of 133682016 in words is "one hundred thirty-three million, six hundred eighty-two thousand, sixteen".