8136101952 has 252 divisors, whose sum is σ = 25896740688. Its totient is φ = 2440204800.

The previous prime is 8136101899. The next prime is 8136101957. The reversal of 8136101952 is 2591016318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8136101957) 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 35 ways as a sum of consecutive naturals, for example, 7456927 + ... + 7458017.

It is an arithmetic number, because the mean of its divisors is an integer number (102764844).

Almost surely, 2^8136101952 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 8136101952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12948370344).

8136101952 is an abundant number, since it is smaller than the sum of its proper divisors (17760638736).

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

8136101952 is a wasteful number, since it uses less digits than its factorization.

8136101952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1238 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 8136101952 is about 90200.3434139804. The cubic root of 8136101952 is about 2011.2781118854.

The spelling of 8136101952 in words is "eight billion, one hundred thirty-six million, one hundred one thousand, nine hundred fifty-two".