1081159128 has 216 divisors, whose sum is σ = 3613931100. Its totient is φ = 290340288.

The previous prime is 1081159111. The next prime is 1081159133. The reversal of 1081159128 is 8219511801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1081159092 and 1081159101.

It is a congruent number.

It is an unprimeable number.

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 53 ways as a sum of consecutive naturals, for example, 8513001 + ... + 8513127.

Almost surely, 2^1081159128 is an apocalyptic number.

1081159128 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 1081159128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1806965550).

1081159128 is an abundant number, since it is smaller than the sum of its proper divisors (2532771972).

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

1081159128 is a wasteful number, since it uses less digits than its factorization.

1081159128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 36.

The square root of 1081159128 is about 32880.9842918365. The cubic root of 1081159128 is about 1026.3524888062.

The spelling of 1081159128 in words is "one billion, eighty-one million, one hundred fifty-nine thousand, one hundred twenty-eight".