133024212 has 72 divisors (see below), whose sum is σ = 344696352. Its totient is φ = 43243200.

The previous prime is 133024207. The next prime is 133024217. The reversal of 133024212 is 212420331.

It is an interprime number because it is at equal distance from previous prime (133024207) and next prime (133024217).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133024217) 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, 315762 + ... + 316182.

Almost surely, 2^133024212 is an apocalyptic number.

133024212 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 133024212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172348176).

133024212 is an abundant number, since it is smaller than the sum of its proper divisors (211672140).

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

133024212 is a wasteful number, since it uses less digits than its factorization.

133024212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 133024212 is about 11533.6122702300. The cubic root of 133024212 is about 510.4778451069.

Adding to 133024212 its reverse (212420331), we get a palindrome (345444543).

The spelling of 133024212 in words is "one hundred thirty-three million, twenty-four thousand, two hundred twelve".