133446852 has 144 divisors (see below), whose sum is σ = 436380672. Its totient is φ = 34642080.

The previous prime is 133446809. The next prime is 133446853. The reversal of 133446852 is 258644331.

133446852 is a `hidden beast` number, since 133 + 446 + 85 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (133446853) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73953 + ... + 75735.

Almost surely, 2^133446852 is an apocalyptic number.

133446852 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 133446852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218190336).

133446852 is an abundant number, since it is smaller than the sum of its proper divisors (302933820).

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

133446852 is a wasteful number, since it uses less digits than its factorization.

133446852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820 (or 1806 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 133446852 is about 11551.9198404421. The cubic root of 133446852 is about 511.0178978442.

It can be divided in two parts, 133 and 446852, that added together give a triangular number (446985 = T₉₄₅).

The spelling of 133446852 in words is "one hundred thirty-three million, four hundred forty-six thousand, eight hundred fifty-two".