133984900 has 72 divisors (see below), whose sum is σ = 333964736. Its totient is φ = 45705600.

The previous prime is 133984897. The next prime is 133984933. The reversal of 133984900 is 9489331.

It is a self number, because there is not a number n which added to its sum of digits gives 133984900.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193555 + ... + 194245.

Almost surely, 2^133984900 is an apocalyptic number.

133984900 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 133984900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166982368).

133984900 is an abundant number, since it is smaller than the sum of its proper divisors (199979836).

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

133984900 is a wasteful number, since it uses less digits than its factorization.

133984900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989 (or 982 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 133984900 is about 11575.1846637537. The cubic root of 133984900 is about 511.7037725333.

The spelling of 133984900 in words is "one hundred thirty-three million, nine hundred eighty-four thousand, nine hundred".