133728300 has 72 divisors (see below), whose sum is σ = 429920400. Its totient is φ = 35660160.

The previous prime is 133728271. The next prime is 133728313. The reversal of 133728300 is 3827331.

133728300 is a `hidden beast` number, since 1 + 337 + 28 + 300 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 23 ways as a sum of consecutive naturals, for example, 22065 + ... + 27464.

Almost surely, 2^133728300 is an apocalyptic number.

133728300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133728300 is an abundant number, since it is smaller than the sum of its proper divisors (296192100).

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

133728300 is a wasteful number, since it uses less digits than its factorization.

133728300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49552 (or 49539 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 133728300 is about 11564.0952953528. The cubic root of 133728300 is about 511.3769021205.

The spelling of 133728300 in words is "one hundred thirty-three million, seven hundred twenty-eight thousand, three hundred".