133122000 has 160 divisors (see below), whose sum is σ = 468434304. Its totient is φ = 32256000.

The previous prime is 133121971. The next prime is 133122007. The reversal of 133122000 is 221331.

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 not an unprimeable number, because it can be changed into a prime (133122007) 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 31 ways as a sum of consecutive naturals, for example, 64992 + ... + 67008.

Almost surely, 2^133122000 is an apocalyptic number.

133122000 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 133122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234217152).

133122000 is an abundant number, since it is smaller than the sum of its proper divisors (335312304).

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

133122000 is a wasteful number, since it uses less digits than its factorization.

133122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2054 (or 2038 counting only the distinct ones).

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

The square root of 133122000 is about 11537.8507530649. The cubic root of 133122000 is about 510.6029009891.

Adding to 133122000 its reverse (221331), we get a palindrome (133343331).

The spelling of 133122000 in words is "one hundred thirty-three million, one hundred twenty-two thousand".