133228032 has 80 divisors (see below), whose sum is σ = 405664512. Its totient is φ = 38062080.

The previous prime is 133228027. The next prime is 133228037. The reversal of 133228032 is 230822331.

It is an interprime number because it is at equal distance from previous prime (133228027) and next prime (133228037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 133227993 and 133228011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133228037) 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, 4557 + ... + 16947.

Almost surely, 2^133228032 is an apocalyptic number.

133228032 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 133228032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202832256).

133228032 is an abundant number, since it is smaller than the sum of its proper divisors (272436480).

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

133228032 is an equidigital number, since it uses as much as digits as its factorization.

133228032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12403 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 133228032 is about 11542.4448016874. Note that the first 3 decimals coincide. The cubic root of 133228032 is about 510.7384305005.

The spelling of 133228032 in words is "one hundred thirty-three million, two hundred twenty-eight thousand, thirty-two".