1138129668 has 72 divisors (see below), whose sum is σ = 3280514328. Its totient is φ = 329591808.

The previous prime is 1138129627. The next prime is 1138129669. The reversal of 1138129668 is 8669218311.

It can be written as a sum of positive squares in 4 ways, for example, as 476199684 + 661929984 = 21822^2 + 25728^2 .

It is not an unprimeable number, because it can be changed into a prime (1138129669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63571 + ... + 79482.

It is an arithmetic number, because the mean of its divisors is an integer number (45562699).

Almost surely, 2^1138129668 is an apocalyptic number.

1138129668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1138129668 is an abundant number, since it is smaller than the sum of its proper divisors (2142384660).

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

1138129668 is a wasteful number, since it uses less digits than its factorization.

1138129668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143093 (or 143088 counting only the distinct ones).

The product of its digits is 124416, while the sum is 45.

The square root of 1138129668 is about 33736.1774360997. The cubic root of 1138129668 is about 1044.0723185029.

The spelling of 1138129668 in words is "one billion, one hundred thirty-eight million, one hundred twenty-nine thousand, six hundred sixty-eight".