133322000 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 44774400.

The previous prime is 133321997. The next prime is 133322003. The reversal of 133322000 is 223331.

It is an interprime number because it is at equal distance from previous prime (133321997) and next prime (133322003).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (133322003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1245947 + ... + 1246053.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2^133322000 is an apocalyptic number.

133322000 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 133322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

133322000 is an abundant number, since it is smaller than the sum of its proper divisors (242725360).

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

133322000 is a wasteful number, since it uses less digits than its factorization.

133322000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 133322000 is about 11546.5146256349. The cubic root of 133322000 is about 510.8584797852.

Adding to 133322000 its reverse (223331), we get a palindrome (133545331).

The spelling of 133322000 in words is "one hundred thirty-three million, three hundred twenty-two thousand".