8172251136 has 384 divisors, whose sum is σ = 28367539200. Its totient is φ = 2275983360.

The previous prime is 8172251123. The next prime is 8172251137. The reversal of 8172251136 is 6311522718.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 8172251136.

It is not an unprimeable number, because it can be changed into a prime (8172251137) 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 31 ways as a sum of consecutive naturals, for example, 16643851 + ... + 16644341.

It is an arithmetic number, because the mean of its divisors is an integer number (73873800).

Almost surely, 2^8172251136 is an apocalyptic number.

8172251136 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8172251136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14183769600).

8172251136 is an abundant number, since it is smaller than the sum of its proper divisors (20195288064).

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

8172251136 is a wasteful number, since it uses less digits than its factorization.

8172251136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 546 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 8172251136 is about 90400.5040693911. The cubic root of 8172251136 is about 2014.2524538516.

The spelling of 8172251136 in words is "eight billion, one hundred seventy-two million, two hundred fifty-one thousand, one hundred thirty-six".