133056000 has 640 divisors, whose sum is σ = 612817920. Its totient is φ = 27648000.

The previous prime is 133055971. The next prime is 133056017. The reversal of 133056000 is 650331.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12095995 + ... + 12096005.

It is an arithmetic number, because the mean of its divisors is an integer number (957528).

Almost surely, 2^133056000 is an apocalyptic number.

133056000 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 133056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306408960).

133056000 is an abundant number, since it is smaller than the sum of its proper divisors (479761920).

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

133056000 is an equidigital number, since it uses as much as digits as its factorization.

133056000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 133056000 is about 11534.9902470700. The cubic root of 133056000 is about 510.5185038138.

The spelling of 133056000 in words is "one hundred thirty-three million, fifty-six thousand".