133325000 has 48 divisors (see below), whose sum is σ = 312519060. Its totient is φ = 53320000.

The previous prime is 133324991. The next prime is 133325011. The reversal of 133325000 is 523331.

It can be written as a sum of positive squares in 6 ways, for example, as 14884 + 133310116 = 122^2 + 11546^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 133325000.

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 11 ways as a sum of consecutive naturals, for example, 22334 + ... + 27666.

Almost surely, 2^133325000 is an apocalyptic number.

133325000 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 133325000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156259530).

133325000 is an abundant number, since it is smaller than the sum of its proper divisors (179194060).

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

133325000 is an frugal number, since it uses more digits than its factorization.

133325000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5364 (or 5340 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 17.

The square root of 133325000 is about 11546.6445342359. The cubic root of 133325000 is about 510.8623115207.

Adding to 133325000 its reverse (523331), we get a palindrome (133848331).

The spelling of 133325000 in words is "one hundred thirty-three million, three hundred twenty-five thousand".