827144136 has 320 divisors, whose sum is σ = 2902838400. Its totient is φ = 215519616.

The previous prime is 827144113. The next prime is 827144137. The reversal of 827144136 is 631441728.

827144136 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 827144136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (827144137) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9965551 + ... + 9965633.

It is an arithmetic number, because the mean of its divisors is an integer number (9071370).

Almost surely, 2^827144136 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 827144136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451419200).

827144136 is an abundant number, since it is smaller than the sum of its proper divisors (2075694264).

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

827144136 is a wasteful number, since it uses less digits than its factorization.

827144136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 108 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 827144136 is about 28760.1136298173. The cubic root of 827144136 is about 938.7005342957.

The spelling of 827144136 in words is "eight hundred twenty-seven million, one hundred forty-four thousand, one hundred thirty-six".