1138510128 has 160 divisors (see below), whose sum is σ = 3655908864. Its totient is φ = 297824256.

The previous prime is 1138510103. The next prime is 1138510129. The reversal of 1138510128 is 8210158311.

It is a junction number, because it is equal to n+sod(n) for n = 1138510095 and 1138510104.

It is not an unprimeable number, because it can be changed into a prime (1138510129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208651 + ... + 214037.

Almost surely, 2^1138510128 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 1138510128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827954432).

1138510128 is an abundant number, since it is smaller than the sum of its proper divisors (2517398736).

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

1138510128 is a wasteful number, since it uses less digits than its factorization.

1138510128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5459 (or 5453 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 30.

The square root of 1138510128 is about 33741.8157187784. The cubic root of 1138510128 is about 1044.1886448792.

Adding to 1138510128 its reverse (8210158311), we get a palindrome (9348668439).

The spelling of 1138510128 in words is "one billion, one hundred thirty-eight million, five hundred ten thousand, one hundred twenty-eight".