1157261136 has 80 divisors (see below), whose sum is σ = 3078029184. Its totient is φ = 374395392.

The previous prime is 1157261113. The next prime is 1157261141. The reversal of 1157261136 is 6311627511.

It is a junction number, because it is equal to n+sod(n) for n = 1157261097 and 1157261106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1319130 + ... + 1320006.

Almost surely, 2^1157261136 is an apocalyptic number.

1157261136 is a gapful number since it is divisible by the number (16) 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 1157261136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539014592).

1157261136 is an abundant number, since it is smaller than the sum of its proper divisors (1920768048).

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

1157261136 is a wasteful number, since it uses less digits than its factorization.

1157261136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1668 (or 1662 counting only the distinct ones).

The product of its digits is 7560, while the sum is 33.

The square root of 1157261136 is about 34018.5410621914. The cubic root of 1157261136 is about 1049.8899766803.

Adding to 1157261136 its reverse (6311627511), we get a palindrome (7468888647).

The spelling of 1157261136 in words is "one billion, one hundred fifty-seven million, two hundred sixty-one thousand, one hundred thirty-six".