133362432 has 108 divisors (see below), whose sum is σ = 439500880. Its totient is φ = 38098944.

The previous prime is 133362431. The next prime is 133362457. The reversal of 133362432 is 234263331.

It is a happy number.

133362432 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 624 + 32 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 133362396 and 133362405.

It is not an unprimeable number, because it can be changed into a prime (133362431) 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, 11994 + ... + 20262.

Almost surely, 2^133362432 is an apocalyptic number.

133362432 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 133362432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219750440).

133362432 is an abundant number, since it is smaller than the sum of its proper divisors (306138448).

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

133362432 is an equidigital number, since it uses as much as digits as its factorization.

133362432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8298 (or 8281 counting only the distinct ones).

The product of its digits is 7776, while the sum is 27.

The square root of 133362432 is about 11548.2653242814. The cubic root of 133362432 is about 510.9101165303.

The spelling of 133362432 in words is "one hundred thirty-three million, three hundred sixty-two thousand, four hundred thirty-two".