133225000 has 72 divisors (see below), whose sum is σ = 316561770. Its totient is φ = 52560000.

The previous prime is 133224997. The next prime is 133225033. The reversal of 133225000 is 522331.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 52620516 + 80604484 = 7254^2 + 8978^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1824964 + ... + 1825036.

Almost surely, 2^133225000 is an apocalyptic number.

133225000 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 133225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158280885).

133225000 is an abundant number, since it is smaller than the sum of its proper divisors (183336770).

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

133225000 is an frugal number, since it uses more digits than its factorization.

133225000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 133225000 is about 11542.3134596146. The cubic root of 133225000 is about 510.7345560139.

Adding to 133225000 its reverse (522331), we get a palindrome (133747331).

The spelling of 133225000 in words is "one hundred thirty-three million, two hundred twenty-five thousand".