133692816 has 80 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 41307264.

The previous prime is 133692799. The next prime is 133692827. The reversal of 133692816 is 618296331.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41305 + ... + 44423.

It is an arithmetic number, because the mean of its divisors is an integer number (4642560).

Almost surely, 2^133692816 is an apocalyptic number.

133692816 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 133692816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

133692816 is an abundant number, since it is smaller than the sum of its proper divisors (237711984).

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

133692816 is a wasteful number, since it uses less digits than its factorization.

133692816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3190 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 133692816 is about 11562.5609620015. The cubic root of 133692816 is about 511.3316678577.

The spelling of 133692816 in words is "one hundred thirty-three million, six hundred ninety-two thousand, eight hundred sixteen".