133221000 has 192 divisors, whose sum is σ = 458115840. Its totient is φ = 32208000.

The previous prime is 133220987. The next prime is 133221017. The reversal of 133221000 is 122331.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 362817 + ... + 363183.

It is an arithmetic number, because the mean of its divisors is an integer number (2386020).

Almost surely, 2^133221000 is an apocalyptic number.

133221000 is a gapful number since it is divisible by the number (10) 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 133221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229057920).

133221000 is an abundant number, since it is smaller than the sum of its proper divisors (324894840).

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

133221000 is a wasteful number, since it uses less digits than its factorization.

133221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 133221000 is about 11542.1401828257. The cubic root of 133221000 is about 510.7294444641.

Adding to 133221000 its reverse (122331), we get a palindrome (133343331).

The spelling of 133221000 in words is "one hundred thirty-three million, two hundred twenty-one thousand".