133315136 has 56 divisors (see below), whose sum is σ = 273186144. Its totient is φ = 64512000.

The previous prime is 133315121. The next prime is 133315141. The reversal of 133315136 is 631513331.

It is a happy number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 531011 + ... + 531261.

It is an arithmetic number, because the mean of its divisors is an integer number (4878324).

Almost surely, 2^133315136 is an apocalyptic number.

133315136 is a gapful number since it is divisible by the number (16) 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 133315136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136593072).

133315136 is an abundant number, since it is smaller than the sum of its proper divisors (139871008).

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

133315136 is a wasteful number, since it uses less digits than its factorization.

133315136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 489 counting only the distinct ones).

The product of its digits is 2430, while the sum is 26.

The square root of 133315136 is about 11546.2173892578. The cubic root of 133315136 is about 510.8497125580.

Adding to 133315136 its reverse (631513331), we get a palindrome (764828467).

The spelling of 133315136 in words is "one hundred thirty-three million, three hundred fifteen thousand, one hundred thirty-six".