133022000 has 80 divisors (see below), whose sum is σ = 324166752. Its totient is φ = 52793600.

The previous prime is 133021963. The next prime is 133022003. The reversal of 133022000 is 220331.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (133022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 453854 + ... + 454146.

Almost surely, 2^133022000 is an apocalyptic number.

133022000 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 133022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162083376).

133022000 is an abundant number, since it is smaller than the sum of its proper divisors (191144752).

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

133022000 is a wasteful number, since it uses less digits than its factorization.

133022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 133022000 is about 11533.5163761968. The cubic root of 133022000 is about 510.4750155888.

Adding to 133022000 its reverse (220331), we get a palindrome (133242331).

The spelling of 133022000 in words is "one hundred thirty-three million, twenty-two thousand".