8130156531840 has 1536 divisors, whose sum is σ = 35056019980800. Its totient is φ = 1694701191168.

The previous prime is 8130156531797. The next prime is 8130156531901. The reversal of 8130156531840 is 481356510318.

8130156531840 is a `hidden beast` number, since 8 + 1 + 3 + 0 + 1 + 565 + 3 + 1 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2749459642 + ... + 2749462598.

It is an arithmetic number, because the mean of its divisors is an integer number (22822929675).

Almost surely, 2^{8130156531840} is an apocalyptic number.

8130156531840 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 8130156531840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17528009990400).

8130156531840 is an abundant number, since it is smaller than the sum of its proper divisors (26925863448960).

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

8130156531840 is a wasteful number, since it uses less digits than its factorization.

8130156531840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3142 (or 3127 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 8130156531840 in words is "eight trillion, one hundred thirty billion, one hundred fifty-six million, five hundred thirty-one thousand, eight hundred forty".