1134852160 has 224 divisors, whose sum is σ = 3059838432. Its totient is φ = 398131200.

The previous prime is 1134852139. The next prime is 1134852163. The reversal of 1134852160 is 612584311.

It can be written as a sum of positive squares in 16 ways, for example, as 12334144 + 1122518016 = 3512^2 + 33504^2 .

It is not an unprimeable number, because it can be changed into a prime (1134852163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 11236110 + ... + 11236210.

It is an arithmetic number, because the mean of its divisors is an integer number (13659993).

Almost surely, 2^1134852160 is an apocalyptic number.

1134852160 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 1134852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1529919216).

1134852160 is an abundant number, since it is smaller than the sum of its proper divisors (1924986272).

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

1134852160 is a wasteful number, since it uses less digits than its factorization.

1134852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 1134852160 is about 33687.5668459448. The cubic root of 1134852160 is about 1043.0691388978.

The spelling of 1134852160 in words is "one billion, one hundred thirty-four million, eight hundred fifty-two thousand, one hundred sixty".