133789188 has 72 divisors (see below), whose sum is σ = 347366208. Its totient is φ = 40030848.

The previous prime is 133789163. The next prime is 133789189. The reversal of 133789188 is 881987331.

It is not an unprimeable number, because it can be changed into a prime (133789189) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74145 + ... + 75927.

Almost surely, 2^133789188 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133789188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173683104).

133789188 is an abundant number, since it is smaller than the sum of its proper divisors (213577020).

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

133789188 is a wasteful number, since it uses less digits than its factorization.

133789188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1853 (or 1838 counting only the distinct ones).

The product of its digits is 290304, while the sum is 48.

The square root of 133789188 is about 11566.7276271208. The cubic root of 133789188 is about 511.4545022305.

It can be divided in two parts, 1337 and 89188, that added together give a triangular number (90525 = T₄₂₅).

The spelling of 133789188 in words is "one hundred thirty-three million, seven hundred eighty-nine thousand, one hundred eighty-eight".