133023000 has 256 divisors, whose sum is σ = 471744000. Its totient is φ = 30912000.

The previous prime is 133022963. The next prime is 133023001. The reversal of 133023000 is 320331.

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 (133023001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 956931 + ... + 957069.

It is an arithmetic number, because the mean of its divisors is an integer number (1842750).

Almost surely, 2^133023000 is an apocalyptic number.

133023000 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 133023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

133023000 is an abundant number, since it is smaller than the sum of its proper divisors (338721000).

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

133023000 is a wasteful number, since it uses less digits than its factorization.

133023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 12.

The square root of 133023000 is about 11533.5597280285. The cubic root of 133023000 is about 510.4762947600.

Adding to 133023000 its reverse (320331), we get a palindrome (133343331).

The spelling of 133023000 in words is "one hundred thirty-three million, twenty-three thousand".