1136877768 has 160 divisors (see below), whose sum is σ = 3610252800. Its totient is φ = 331350912.

The previous prime is 1136877757. The next prime is 1136877779. The reversal of 1136877768 is 8677786311.

It is an interprime number because it is at equal distance from previous prime (1136877757) and next prime (1136877779).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156505 + ... + 163607.

It is an arithmetic number, because the mean of its divisors is an integer number (22564080).

Almost surely, 2^1136877768 is an apocalyptic number.

1136877768 is a gapful number since it is divisible by the number (18) 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 1136877768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1805126400).

1136877768 is an abundant number, since it is smaller than the sum of its proper divisors (2473375032).

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

1136877768 is a wasteful number, since it uses less digits than its factorization.

1136877768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7153 (or 7140 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The square root of 1136877768 is about 33717.6180653379. The cubic root of 1136877768 is about 1043.6893645773.

The spelling of 1136877768 in words is "one billion, one hundred thirty-six million, eight hundred seventy-seven thousand, seven hundred sixty-eight".