133783200 has 216 divisors, whose sum is σ = 499960188. Its totient is φ = 33546240.

The previous prime is 133783171. The next prime is 133783219. The reversal of 133783200 is 2387331.

133783200 is a `hidden beast` number, since 1 + 337 + 8 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 108743184 + 25040016 = 10428^2 + 5004^2 .

It is a super-3 number, since 3×133783200³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 121854 + ... + 122946.

Almost surely, 2^133783200 is an apocalyptic number.

133783200 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 133783200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249980094).

133783200 is an abundant number, since it is smaller than the sum of its proper divisors (366176988).

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

133783200 is a wasteful number, since it uses less digits than its factorization.

133783200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1120 counting only the distinct ones).

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

The square root of 133783200 is about 11566.4687783264. The cubic root of 133783200 is about 511.4468717304.

The spelling of 133783200 in words is "one hundred thirty-three million, seven hundred eighty-three thousand, two hundred".