133256000 has 56 divisors (see below), whose sum is σ = 330028296. Its totient is φ = 53299200.

The previous prime is 133255999. The next prime is 133256023. The reversal of 133256000 is 652331.

It can be written as a sum of positive squares in 4 ways, for example, as 2930944 + 130325056 = 1712^2 + 11416^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 329 + ... + 16328.

Almost surely, 2^133256000 is an apocalyptic number.

133256000 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 133256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165014148).

133256000 is an abundant number, since it is smaller than the sum of its proper divisors (196772296).

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

133256000 is an equidigital number, since it uses as much as digits as its factorization.

133256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16684 (or 16664 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 133256000 is about 11543.6562665388. The cubic root of 133256000 is about 510.7741670563.

The spelling of 133256000 in words is "one hundred thirty-three million, two hundred fifty-six thousand".