8461512136 has 384 divisors, whose sum is σ = 23551948800. Its totient is φ = 2746275840.

The previous prime is 8461512121. The next prime is 8461512139. The reversal of 8461512136 is 6312151648.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8461512095 and 8461512104.

It is not an unprimeable number, because it can be changed into a prime (8461512139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 196779331 + ... + 196779373.

It is an arithmetic number, because the mean of its divisors is an integer number (61333200).

Almost surely, 2^8461512136 is an apocalyptic number.

8461512136 is a gapful number since it is divisible by the number (86) 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 8461512136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11775974400).

8461512136 is an abundant number, since it is smaller than the sum of its proper divisors (15090436664).

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

8461512136 is a wasteful number, since it uses less digits than its factorization.

8461512136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 122 counting only the distinct ones).

The product of its digits is 34560, while the sum is 37.

The square root of 8461512136 is about 91986.4780062809. The cubic root of 8461512136 is about 2037.7426119122.

It can be divided in two parts, 8461512 and 136, that added together give a palindrome (8461648).

The spelling of 8461512136 in words is "eight billion, four hundred sixty-one million, five hundred twelve thousand, one hundred thirty-six".