133448900 has 36 divisors (see below), whose sum is σ = 311862852. Its totient is φ = 49272960.

The previous prime is 133448873. The next prime is 133448911. The reversal of 133448900 is 9844331.

It can be written as a sum of positive squares in 6 ways, for example, as 10549504 + 122899396 = 3248^2 + 11086^2 .

It is a super-2 number, since 2×133448900² = 35617217822420000, which contains 22 as substring.

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, 50027 + ... + 52626.

It is an arithmetic number, because the mean of its divisors is an integer number (8662857).

Almost surely, 2^133448900 is an apocalyptic number.

133448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133448900 is an abundant number, since it is smaller than the sum of its proper divisors (178413952).

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

133448900 is a wasteful number, since it uses less digits than its factorization.

133448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102680 (or 102673 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 133448900 is about 11552.0084833764. The cubic root of 133448900 is about 511.0205120168.

The spelling of 133448900 in words is "one hundred thirty-three million, four hundred forty-eight thousand, nine hundred".