133302312 has 192 divisors, whose sum is σ = 431645760. Its totient is φ = 36938880.

The previous prime is 133302289. The next prime is 133302317. The reversal of 133302312 is 213203331.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (133302317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1245763 + ... + 1245869.

It is an arithmetic number, because the mean of its divisors is an integer number (2248155).

Almost surely, 2^133302312 is an apocalyptic number.

133302312 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 133302312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215822880).

133302312 is an abundant number, since it is smaller than the sum of its proper divisors (298343448).

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

133302312 is a wasteful number, since it uses less digits than its factorization.

133302312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133302312 is about 11545.6620425162. The cubic root of 133302312 is about 510.8333319554.

Adding to 133302312 its reverse (213203331), we get a palindrome (346505643).

The spelling of 133302312 in words is "one hundred thirty-three million, three hundred two thousand, three hundred twelve".