8131152564 has 144 divisors (see below), whose sum is σ = 22557749760. Its totient is φ = 2466996480.

The previous prime is 8131152541. The next prime is 8131152611. The reversal of 8131152564 is 4652511318.

8131152564 is a `hidden beast` number, since 81 + 3 + 1 + 15 + 2 + 564 = 666.

It is a super-2 number, since 2×8131152564² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5482167 + ... + 5483649.

It is an arithmetic number, because the mean of its divisors is an integer number (156651040).

Almost surely, 2^8131152564 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 8131152564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11278874880).

8131152564 is an abundant number, since it is smaller than the sum of its proper divisors (14426597196).

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

8131152564 is a wasteful number, since it uses less digits than its factorization.

8131152564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1575 (or 1536 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 8131152564 is about 90172.9037128116. The cubic root of 8131152564 is about 2010.8701927519.

The spelling of 8131152564 in words is "eight billion, one hundred thirty-one million, one hundred fifty-two thousand, five hundred sixty-four".