1135534920 has 128 divisors (see below), whose sum is σ = 3705488640. Its totient is φ = 276710400.

The previous prime is 1135534903. The next prime is 1135534987. The reversal of 1135534920 is 294355311.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 153957 + ... + 161163.

It is an arithmetic number, because the mean of its divisors is an integer number (28949130).

Almost surely, 2^1135534920 is an apocalyptic number.

1135534920 is a gapful number since it is divisible by the number (10) 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 1135534920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852744320).

1135534920 is an abundant number, since it is smaller than the sum of its proper divisors (2569953720).

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

1135534920 is a wasteful number, since it uses less digits than its factorization.

1135534920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7335 (or 7331 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 1135534920 is about 33697.6990312395. The cubic root of 1135534920 is about 1043.2782771856.

The spelling of 1135534920 in words is "one billion, one hundred thirty-five million, five hundred thirty-four thousand, nine hundred twenty".