8130151440 has 100 divisors (see below), whose sum is σ = 28237242924. Its totient is φ = 2168038656.

The previous prime is 8130151439. The next prime is 8130151483. The reversal of 8130151440 is 441510318.

It is a happy number.

8130151440 is a `hidden beast` number, since 81 + 30 + 1 + 514 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3105609984 + 5024541456 = 55728^2 + 70884^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 620847 + ... + 633806.

Almost surely, 2^8130151440 is an apocalyptic number.

8130151440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8130151440 is an abundant number, since it is smaller than the sum of its proper divisors (20107091484).

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

8130151440 is a wasteful number, since it uses less digits than its factorization.

8130151440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1254678 (or 1254663 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 8130151440 is about 90167.3524065113. The cubic root of 8130151440 is about 2010.7876618922.

Adding to 8130151440 its reverse (441510318), we get a palindrome (8571661758).

The spelling of 8130151440 in words is "eight billion, one hundred thirty million, one hundred fifty-one thousand, four hundred forty".