812134900 has 72 divisors (see below), whose sum is σ = 1853881344. Its totient is φ = 308380800.

The previous prime is 812134891. The next prime is 812134903. The reversal of 812134900 is 9431218.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (812134903) by changing a digit.

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, 161829 + ... + 166771.

It is an arithmetic number, because the mean of its divisors is an integer number (25748352).

Almost surely, 2^812134900 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 812134900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926940672).

812134900 is an abundant number, since it is smaller than the sum of its proper divisors (1041746444).

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

812134900 is a wasteful number, since it uses less digits than its factorization.

812134900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 812134900 is about 28497.9806302131. The cubic root of 812134900 is about 932.9880000769.

The spelling of 812134900 in words is "eight hundred twelve million, one hundred thirty-four thousand, nine hundred".