1153339128 has 64 divisors (see below), whose sum is σ = 3307084800. Its totient is φ = 372042720.

The previous prime is 1153339093. The next prime is 1153339147. The reversal of 1153339128 is 8219333511.

1153339128 is a `hidden beast` number, since 11 + 533 + 3 + 91 + 28 = 666.

It is a super-2 number, since 2×1153339128² = 2660382288351600768, which contains 22 as substring.

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 = 1153339092 and 1153339101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 79426 + ... + 92817.

It is an arithmetic number, because the mean of its divisors is an integer number (51673200).

Almost surely, 2^1153339128 is an apocalyptic number.

1153339128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1153339128 is an abundant number, since it is smaller than the sum of its proper divisors (2153745672).

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

1153339128 is a wasteful number, since it uses less digits than its factorization.

1153339128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172289 (or 172279 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 1153339128 is about 33960.8469859042. The cubic root of 1153339128 is about 1048.7025934704.

The spelling of 1153339128 in words is "one billion, one hundred fifty-three million, three hundred thirty-nine thousand, one hundred twenty-eight".