65133200 has 120 divisors (see below), whose sum is σ = 173533536. Its totient is φ = 23296000.

The previous prime is 65133181. The next prime is 65133221. The reversal of 65133200 is 233156.

65133200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 497135 + ... + 497265.

Almost surely, 2^65133200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86766768).

65133200 is an abundant number, since it is smaller than the sum of its proper divisors (108400336).

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

65133200 is a wasteful number, since it uses less digits than its factorization.

65133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The square root of 65133200 is about 8070.5142339259. The cubic root of 65133200 is about 402.3470349655.

Adding to 65133200 its reverse (233156), we get a palindrome (65366356).

The spelling of 65133200 in words is "sixty-five million, one hundred thirty-three thousand, two hundred".