133312128 has 32 divisors (see below), whose sum is σ = 354111360. Its totient is φ = 44437248.

The previous prime is 133312103. The next prime is 133312129. The reversal of 133312128 is 821213331.

It is a tau number, because it is divible by the number of its divisors (32).

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

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 = 133312098 and 133312107.

It is not an unprimeable number, because it can be changed into a prime (133312129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 173200 + ... + 173967.

It is an arithmetic number, because the mean of its divisors is an integer number (11065980).

Almost surely, 2^133312128 is an apocalyptic number.

It is an amenable number.

133312128 is an abundant number, since it is smaller than the sum of its proper divisors (220799232).

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

133312128 is an equidigital number, since it uses as much as digits as its factorization.

133312128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347184 (or 347172 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 133312128 is about 11546.0871294132. The cubic root of 133312128 is about 510.8458704149.

Adding to 133312128 its reverse (821213331), we get a palindrome (954525459).

The spelling of 133312128 in words is "one hundred thirty-three million, three hundred twelve thousand, one hundred twenty-eight".