133688040 has 64 divisors (see below), whose sum is σ = 404654400. Its totient is φ = 35331072.

The previous prime is 133688021. The next prime is 133688063. The reversal of 133688040 is 40886331.

It is a junction number, because it is equal to n+sod(n) for n = 133687992 and 133688010.

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, 8631 + ... + 18489.

It is an arithmetic number, because the mean of its divisors is an integer number (6322725).

Almost surely, 2^133688040 is an apocalyptic number.

133688040 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 133688040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202327200).

133688040 is an abundant number, since it is smaller than the sum of its proper divisors (270966360).

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

133688040 is a wasteful number, since it uses less digits than its factorization.

133688040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9986 (or 9982 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 133688040 is about 11562.3544315161. The cubic root of 133688040 is about 511.3255789015.

The spelling of 133688040 in words is "one hundred thirty-three million, six hundred eighty-eight thousand, forty".