133205688 has 128 divisors (see below), whose sum is σ = 461376000. Its totient is φ = 34594560.

The previous prime is 133205641. The next prime is 133205731. The reversal of 133205688 is 886502331.

133205688 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12628 + ... + 20636.

It is an arithmetic number, because the mean of its divisors is an integer number (3604500).

Almost surely, 2^133205688 is an apocalyptic number.

133205688 is a gapful number since it is divisible by the number (18) 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 133205688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230688000).

133205688 is an abundant number, since it is smaller than the sum of its proper divisors (328170312).

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

133205688 is a wasteful number, since it uses less digits than its factorization.

133205688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8042 (or 8032 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 133205688 is about 11541.4768552382. The cubic root of 133205688 is about 510.7098765059.

The spelling of 133205688 in words is "one hundred thirty-three million, two hundred five thousand, six hundred eighty-eight".