133189392 has 160 divisors (see below), whose sum is σ = 427909120. Its totient is φ = 34836480.

The previous prime is 133189391. The next prime is 133189417. The reversal of 133189392 is 293981331.

It is a self number, because there is not a number n which added to its sum of digits gives 133189392.

It is not an unprimeable number, because it can be changed into a prime (133189391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197568 + ... + 198240.

It is an arithmetic number, because the mean of its divisors is an integer number (2674432).

Almost surely, 2^133189392 is an apocalyptic number.

133189392 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 133189392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213954560).

133189392 is an abundant number, since it is smaller than the sum of its proper divisors (294719728).

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

133189392 is a wasteful number, since it uses less digits than its factorization.

133189392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 741 (or 735 counting only the distinct ones).

The product of its digits is 34992, while the sum is 39.

The square root of 133189392 is about 11540.7708581360. The cubic root of 133189392 is about 510.6890493984.

The spelling of 133189392 in words is "one hundred thirty-three million, one hundred eighty-nine thousand, three hundred ninety-two".