133065636 has 72 divisors (see below), whose sum is σ = 344723232. Its totient is φ = 39916800.

The previous prime is 133065631. The next prime is 133065643. The reversal of 133065636 is 636560331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 133065597 and 133065606.

It is not an unprimeable number, because it can be changed into a prime (133065631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 163671 + ... + 164481.

Almost surely, 2^133065636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133065636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172361616).

133065636 is an abundant number, since it is smaller than the sum of its proper divisors (211657596).

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

133065636 is a wasteful number, since it uses less digits than its factorization.

133065636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 953 (or 940 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 33.

The square root of 133065636 is about 11535.4079251668. The cubic root of 133065636 is about 510.5308275410.

It can be divided in two parts, 1330 and 65636, that added together give a palindrome (66966).

The spelling of 133065636 in words is "one hundred thirty-three million, sixty-five thousand, six hundred thirty-six".