133825000 has 96 divisors (see below), whose sum is σ = 322713720. Its totient is φ = 52000000.

The previous prime is 133824997. The next prime is 133825001. The reversal of 133825000 is 528331.

It can be written as a sum of positive squares in 12 ways, for example, as 14884164 + 118940836 = 3858^2 + 10906^2 .

It is not an unprimeable number, because it can be changed into a prime (133825001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1324950 + ... + 1325050.

Almost surely, 2^133825000 is an apocalyptic number.

133825000 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 133825000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161356860).

133825000 is an abundant number, since it is smaller than the sum of its proper divisors (188888720).

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

133825000 is an equidigital number, since it uses as much as digits as its factorization.

133825000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 133825000 is about 11568.2755845459. The cubic root of 133825000 is about 511.5001326607.

The spelling of 133825000 in words is "one hundred thirty-three million, eight hundred twenty-five thousand".