1132830144 has 112 divisors (see below), whose sum is σ = 3343595040. Its totient is φ = 376104960.

The previous prime is 1132830137. The next prime is 1132830151. The reversal of 1132830144 is 4410382311.

It is an interprime number because it is at equal distance from previous prime (1132830137) and next prime (1132830151).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 484402 + ... + 486734.

Almost surely, 2^1132830144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1132830144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671797520).

1132830144 is an abundant number, since it is smaller than the sum of its proper divisors (2210764896).

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

1132830144 is a wasteful number, since it uses less digits than its factorization.

1132830144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2635 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 1132830144 is about 33657.5421562538. The cubic root of 1132830144 is about 1042.4492765549.

The spelling of 1132830144 in words is "one billion, one hundred thirty-two million, eight hundred thirty thousand, one hundred forty-four".