133945200 has 180 divisors, whose sum is σ = 481230360. Its totient is φ = 34460160.

The previous prime is 133945199. The next prime is 133945213. The reversal of 133945200 is 2549331.

133945200 is a `hidden beast` number, since 133 + 9 + 4 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 103759 + ... + 105041.

It is an arithmetic number, because the mean of its divisors is an integer number (2673502).

Almost surely, 2^133945200 is an apocalyptic number.

133945200 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 133945200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240615180).

133945200 is an abundant number, since it is smaller than the sum of its proper divisors (347285160).

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

133945200 is a wasteful number, since it uses less digits than its factorization.

133945200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1322 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 133945200 is about 11573.4696612554. The cubic root of 133945200 is about 511.6532279159.

The spelling of 133945200 in words is "one hundred thirty-three million, nine hundred forty-five thousand, two hundred".