133363836 has 72 divisors (see below), whose sum is σ = 352301040. Its totient is φ = 42494976.

The previous prime is 133363823. The next prime is 133363859. The reversal of 133363836 is 638363331.

133363836 is a `hidden beast` number, since 13 + 3 + 3 + 638 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 133363836.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77740 + ... + 79436.

It is an arithmetic number, because the mean of its divisors is an integer number (4893070).

Almost surely, 2^133363836 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 133363836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176150520).

133363836 is an abundant number, since it is smaller than the sum of its proper divisors (218937204).

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

133363836 is a wasteful number, since it uses less digits than its factorization.

133363836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803 (or 1798 counting only the distinct ones).

The product of its digits is 69984, while the sum is 36.

The square root of 133363836 is about 11548.3261124719. The cubic root of 133363836 is about 510.9119094273.

The spelling of 133363836 in words is "one hundred thirty-three million, three hundred sixty-three thousand, eight hundred thirty-six".