1132152320 has 80 divisors (see below), whose sum is σ = 2923406640. Its totient is φ = 418013184.

The previous prime is 1132152319. The next prime is 1132152331. The reversal of 1132152320 is 232512311.

1132152320 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1132152292 and 1132152301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16271 + ... + 50289.

It is an arithmetic number, because the mean of its divisors is an integer number (36542583).

Almost surely, 2^1132152320 is an apocalyptic number.

1132152320 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 1132152320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1461703320).

1132152320 is an abundant number, since it is smaller than the sum of its proper divisors (1791254320).

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

1132152320 is an equidigital number, since it uses as much as digits as its factorization.

1132152320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34055 (or 34039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1132152320 is about 33647.4712274192. The cubic root of 1132152320 is about 1042.2413200727.

Adding to 1132152320 its reverse (232512311), we get a palindrome (1364664631).

The spelling of 1132152320 in words is "one billion, one hundred thirty-two million, one hundred fifty-two thousand, three hundred twenty".