133788032 has 96 divisors (see below), whose sum is σ = 315002520. Its totient is φ = 56426496.

The previous prime is 133788029. The next prime is 133788037. The reversal of 133788032 is 230887331.

It is a junction number, because it is equal to n+sod(n) for n = 133787983 and 133788001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133788037) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 520448 + ... + 520704.

Almost surely, 2^133788032 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 133788032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157501260).

133788032 is an abundant number, since it is smaller than the sum of its proper divisors (181214488).

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

133788032 is an equidigital number, since it uses as much as digits as its factorization.

133788032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 35.

The square root of 133788032 is about 11566.6776560947. The cubic root of 133788032 is about 511.4530291591.

The spelling of 133788032 in words is "one hundred thirty-three million, seven hundred eighty-eight thousand, thirty-two".