133792032 has 192 divisors, whose sum is σ = 407973888. Its totient is φ = 38016000.

The previous prime is 133792031. The next prime is 133792073. The reversal of 133792032 is 230297331.

It is not an unprimeable number, because it can be changed into a prime (133792031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1996863 + ... + 1996929.

It is an arithmetic number, because the mean of its divisors is an integer number (2124864).

Almost surely, 2^133792032 is an apocalyptic number.

133792032 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 133792032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203986944).

133792032 is an abundant number, since it is smaller than the sum of its proper divisors (274181856).

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

133792032 is a wasteful number, since it uses less digits than its factorization.

133792032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 30.

The square root of 133792032 is about 11566.8505653008. The cubic root of 133792032 is about 511.4581262561.

The spelling of 133792032 in words is "one hundred thirty-three million, seven hundred ninety-two thousand, thirty-two".