133506306 has 40 divisors (see below), whose sum is σ = 312168384. Its totient is φ = 42566040.

The previous prime is 133506301. The next prime is 133506371. The reversal of 133506306 is 603605331.

133506306 is a `hidden beast` number, since 1 + 3 + 350 + 6 + 306 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 133506306.

It is not an unprimeable number, because it can be changed into a prime (133506301) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 14190 + ... + 21641.

Almost surely, 2^133506306 is an apocalyptic number.

133506306 is an abundant number, since it is smaller than the sum of its proper divisors (178662078).

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

133506306 is a wasteful number, since it uses less digits than its factorization.

133506306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35868 (or 35859 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 27.

The square root of 133506306 is about 11554.4928923774. The cubic root of 133506306 is about 511.0937771094.

The spelling of 133506306 in words is "one hundred thirty-three million, five hundred six thousand, three hundred six".