1157311736 has 64 divisors (see below), whose sum is σ = 2626886400. Its totient is φ = 466933248.

The previous prime is 1157311721. The next prime is 1157311759. The reversal of 1157311736 is 6371137511.

It is a junction number, because it is equal to n+sod(n) for n = 1157311696 and 1157311705.

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 15 ways as a sum of consecutive naturals, for example, 170096 + ... + 176768.

It is an arithmetic number, because the mean of its divisors is an integer number (41045100).

Almost surely, 2^1157311736 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 1157311736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313443200).

1157311736 is an abundant number, since it is smaller than the sum of its proper divisors (1469574664).

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

1157311736 is a wasteful number, since it uses less digits than its factorization.

1157311736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6868 (or 6864 counting only the distinct ones).

The product of its digits is 13230, while the sum is 35.

The square root of 1157311736 is about 34019.2847661440. The cubic root of 1157311736 is about 1049.9052782278.

The spelling of 1157311736 in words is "one billion, one hundred fifty-seven million, three hundred eleven thousand, seven hundred thirty-six".