1132830000 has 300 divisors, whose sum is σ = 4071515448. Its totient is φ = 293760000.

The previous prime is 1132829983. The next prime is 1132830001. The reversal of 1132830000 is 382311.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1132830001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3689847 + ... + 3690153.

Almost surely, 2^1132830000 is an apocalyptic number.

1132830000 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 1132830000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035757724).

1132830000 is an abundant number, since it is smaller than the sum of its proper divisors (2938685448).

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

1132830000 is a wasteful number, since it uses less digits than its factorization.

1132830000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1132830000 is about 33657.5400170601. The cubic root of 1132830000 is about 1042.4492323845.

It can be divided in two parts, 11328 and 30000, that added together give a triangular number (41328 = T₂₈₇).

The spelling of 1132830000 in words is "one billion, one hundred thirty-two million, eight hundred thirty thousand".