8415142736 has 160 divisors (see below), whose sum is σ = 22027756800. Its totient is φ = 3025451520.

The previous prime is 8415142717. The next prime is 8415142781. The reversal of 8415142736 is 6372415148.

It is a junction number, because it is equal to n+sod(n) for n = 8415142693 and 8415142702.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2705150 + ... + 2708258.

It is an arithmetic number, because the mean of its divisors is an integer number (137673480).

Almost surely, 2^8415142736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8415142736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11013878400).

8415142736 is an abundant number, since it is smaller than the sum of its proper divisors (13612614064).

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

8415142736 is a wasteful number, since it uses less digits than its factorization.

8415142736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 3142 counting only the distinct ones).

The product of its digits is 161280, while the sum is 41.

The square root of 8415142736 is about 91734.0870996164. The cubic root of 8415142736 is about 2034.0134900150.

It can be divided in two parts, 8415 and 142736, that added together give a palindrome (151151).

The spelling of 8415142736 in words is "eight billion, four hundred fifteen million, one hundred forty-two thousand, seven hundred thirty-six".