133036032 has 96 divisors (see below), whose sum is σ = 361670400. Its totient is φ = 43474944.

The previous prime is 133036031. The next prime is 133036069. The reversal of 133036032 is 230630331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133036031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362313 + ... + 362679.

It is an arithmetic number, because the mean of its divisors is an integer number (3767400).

Almost surely, 2^133036032 is an apocalyptic number.

133036032 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 133036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180835200).

133036032 is an abundant number, since it is smaller than the sum of its proper divisors (228634368).

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

133036032 is an equidigital number, since it uses as much as digits as its factorization.

133036032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

The square root of 133036032 is about 11534.1246742005. The cubic root of 133036032 is about 510.4929643330.

Adding to 133036032 its reverse (230630331), we get a palindrome (363666363).

The spelling of 133036032 in words is "one hundred thirty-three million, thirty-six thousand, thirty-two".