1135573152 has 288 divisors, whose sum is σ = 3736018944. Its totient is φ = 295488000.

The previous prime is 1135573139. The next prime is 1135573193. The reversal of 1135573152 is 2513755311.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7520277 + ... + 7520427.

It is an arithmetic number, because the mean of its divisors is an integer number (12972288).

Almost surely, 2^1135573152 is an apocalyptic number.

1135573152 is a gapful number since it is divisible by the number (12) 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 1135573152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868009472).

1135573152 is an abundant number, since it is smaller than the sum of its proper divisors (2600445792).

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

1135573152 is a wasteful number, since it uses less digits than its factorization.

1135573152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 213 counting only the distinct ones).

The product of its digits is 15750, while the sum is 33.

The square root of 1135573152 is about 33698.2663055535. The cubic root of 1135573152 is about 1043.2899856667.

The spelling of 1135573152 in words is "one billion, one hundred thirty-five million, five hundred seventy-three thousand, one hundred fifty-two".