133210000 has 200 divisors, whose sum is σ = 404420544. Its totient is φ = 41280000.

The previous prime is 133209959. The next prime is 133210013. The reversal of 133210000 is 12331.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 769914 + ... + 770086.

Almost surely, 2^133210000 is an apocalyptic number.

133210000 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 133210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202210272).

133210000 is an abundant number, since it is smaller than the sum of its proper divisors (271210544).

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

133210000 is a wasteful number, since it uses less digits than its factorization.

133210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 133210000 is about 11541.6636582427. The cubic root of 133210000 is about 510.7153871746.

Adding to 133210000 its reverse (12331), we get a palindrome (133222331).

The spelling of 133210000 in words is "one hundred thirty-three million, two hundred ten thousand".