8156137866240 has 1408 divisors, whose sum is σ = 32741980508160. Its totient is φ = 1687184474112.

The previous prime is 8156137866211. The next prime is 8156137866241. The reversal of 8156137866240 is 426687316518.

It is a super-2 number, since 2×8156137866240² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (8156137866241) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 26567224167 + ... + 26567224473.

It is an arithmetic number, because the mean of its divisors is an integer number (23254247520).

Almost surely, 2^{8156137866240} is an apocalyptic number.

8156137866240 is a gapful number since it is divisible by the number (80) 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 8156137866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16370990254080).

8156137866240 is an abundant number, since it is smaller than the sum of its proper divisors (24585842641920).

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

8156137866240 is a wasteful number, since it uses less digits than its factorization.

8156137866240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 8156137866240 in words is "eight trillion, one hundred fifty-six billion, one hundred thirty-seven million, eight hundred sixty-six thousand, two hundred forty".