865152146200 has 192 divisors, whose sum is σ = 2100391637760. Its totient is φ = 331188549120.

The previous prime is 865152146171. The next prime is 865152146213. The reversal of 865152146200 is 2641251568.

It is a Harshad number since it is a multiple of its sum of digits (40).

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 47 ways as a sum of consecutive naturals, for example, 73144687 + ... + 73156513.

It is an arithmetic number, because the mean of its divisors is an integer number (10939539780).

Almost surely, 2^865152146200 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 865152146200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050195818880).

865152146200 is an abundant number, since it is smaller than the sum of its proper divisors (1235239491560).

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

865152146200 is a wasteful number, since it uses less digits than its factorization.

865152146200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12066 (or 12057 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

Adding to 865152146200 its reverse (2641251568), we get a palindrome (867793397768).

The spelling of 865152146200 in words is "eight hundred sixty-five billion, one hundred fifty-two million, one hundred forty-six thousand, two hundred".