133016000 has 112 divisors (see below), whose sum is σ = 355031040. Its totient is φ = 49075200.

The previous prime is 133015997. The next prime is 133016027. The reversal of 133016000 is 610331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103361 + ... + 104639.

It is an arithmetic number, because the mean of its divisors is an integer number (3169920).

Almost surely, 2^133016000 is an apocalyptic number.

133016000 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 133016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177515520).

133016000 is an abundant number, since it is smaller than the sum of its proper divisors (222015040).

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

133016000 is a wasteful number, since it uses less digits than its factorization.

133016000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1299 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

The square root of 133016000 is about 11533.2562617849. The cubic root of 133016000 is about 510.4673404269.

Adding to 133016000 its reverse (610331), we get a palindrome (133626331).

The spelling of 133016000 in words is "one hundred thirty-three million, sixteen thousand".