133335312 has 80 divisors (see below), whose sum is σ = 395569920. Its totient is φ = 38275200.

The previous prime is 133335311. The next prime is 133335353. The reversal of 133335312 is 213533331.

It is a super-2 number, since 2×133335312² = 35556610852274688, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (133335311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3387 + ... + 16677.

It is an arithmetic number, because the mean of its divisors is an integer number (4944624).

Almost surely, 2^133335312 is an apocalyptic number.

133335312 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 133335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197784960).

133335312 is an abundant number, since it is smaller than the sum of its proper divisors (262234608).

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

133335312 is a wasteful number, since it uses less digits than its factorization.

133335312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13332 (or 13326 counting only the distinct ones).

The product of its digits is 2430, while the sum is 24.

The square root of 133335312 is about 11547.0910622546. The cubic root of 133335312 is about 510.8754820348.

Adding to 133335312 its reverse (213533331), we get a palindrome (346868643).

The spelling of 133335312 in words is "one hundred thirty-three million, three hundred thirty-five thousand, three hundred twelve".