1135029888 has 128 divisors (see below), whose sum is σ = 3547152000. Its totient is φ = 356069376.

The previous prime is 1135029859. The next prime is 1135029899. The reversal of 1135029888 is 8889205311.

It is a happy number.

1135029888 is a `hidden beast` number, since 1 + 1 + 350 + 298 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 49093 + ... + 68411.

It is an arithmetic number, because the mean of its divisors is an integer number (27712125).

Almost surely, 2^1135029888 is an apocalyptic number.

1135029888 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 1135029888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773576000).

1135029888 is an abundant number, since it is smaller than the sum of its proper divisors (2412122112).

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

1135029888 is a wasteful number, since it uses less digits than its factorization.

1135029888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19359 (or 19341 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The square root of 1135029888 is about 33690.2046298327. The cubic root of 1135029888 is about 1043.1235873748.

The spelling of 1135029888 in words is "one billion, one hundred thirty-five million, twenty-nine thousand, eight hundred eighty-eight".