1158640128 has 120 divisors (see below), whose sum is σ = 3452207616. Its totient is φ = 373708800.

The previous prime is 1158640081. The next prime is 1158640183. The reversal of 1158640128 is 8210468511.

1158640128 is a `hidden beast` number, since 1 + 1 + 5 + 8 + 640 + 1 + 2 + 8 = 666.

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 = 1158640092 and 1158640101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 138793 + ... + 146903.

Almost surely, 2^1158640128 is an apocalyptic number.

1158640128 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 1158640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726103808).

1158640128 is an abundant number, since it is smaller than the sum of its proper divisors (2293567488).

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

1158640128 is an equidigital number, since it uses as much as digits as its factorization.

1158640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8147 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 1158640128 is about 34038.8032692103. The cubic root of 1158640128 is about 1050.3068273381.

The spelling of 1158640128 in words is "one billion, one hundred fifty-eight million, six hundred forty thousand, one hundred twenty-eight".