1132945920 has 320 divisors, whose sum is σ = 4142413440. Its totient is φ = 293289984.

The previous prime is 1132945843. The next prime is 1132945921. The reversal of 1132945920 is 295492311.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1132945921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2557219 + ... + 2557661.

It is an arithmetic number, because the mean of its divisors is an integer number (12945042).

Almost surely, 2^1132945920 is an apocalyptic number.

1132945920 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 1132945920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2071206720).

1132945920 is an abundant number, since it is smaller than the sum of its proper divisors (3009467520).

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

1132945920 is an equidigital number, since it uses as much as digits as its factorization.

1132945920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 1132945920 is about 33659.2620239957. The cubic root of 1132945920 is about 1042.4847883501.

The spelling of 1132945920 in words is "one billion, one hundred thirty-two million, nine hundred forty-five thousand, nine hundred twenty".