8137085040 has 500 divisors, whose sum is σ = 33032596344. Its totient is φ = 1856348928.

The previous prime is 8137085039. The next prime is 8137085063. The reversal of 8137085040 is 405807318.

8137085040 is a `hidden beast` number, since 81 + 3 + 70 + 8 + 504 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 8137084986 and 8137085004.

It is a congruent number.

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 99 ways as a sum of consecutive naturals, for example, 15558219 + ... + 15558741.

Almost surely, 2^8137085040 is an apocalyptic number.

8137085040 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 8137085040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16516298172).

8137085040 is an abundant number, since it is smaller than the sum of its proper divisors (24895511304).

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

8137085040 is an equidigital number, since it uses as much as digits as its factorization.

8137085040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 540 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 8137085040 is about 90205.7927186497. The cubic root of 8137085040 is about 2011.3591164318.

The spelling of 8137085040 in words is "eight billion, one hundred thirty-seven million, eighty-five thousand, forty".