8138182752 has 672 divisors, whose sum is σ = 30055576320. Its totient is φ = 2116316160.

The previous prime is 8138182751. The next prime is 8138182757. The reversal of 8138182752 is 2572818318.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 8138182698 and 8138182707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8138182751) 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 111 ways as a sum of consecutive naturals, for example, 133412802 + ... + 133412862.

It is an arithmetic number, because the mean of its divisors is an integer number (44725560).

Almost surely, 2^8138182752 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 8138182752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15027788160).

8138182752 is an abundant number, since it is smaller than the sum of its proper divisors (21917393568).

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

8138182752 is a wasteful number, since it uses less digits than its factorization.

8138182752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 135 counting only the distinct ones).

The product of its digits is 215040, while the sum is 45.

The square root of 8138182752 is about 90211.8770007586. The cubic root of 8138182752 is about 2011.4495580642.

The spelling of 8138182752 in words is "eight billion, one hundred thirty-eight million, one hundred eighty-two thousand, seven hundred fifty-two".