1143133680 has 320 divisors, whose sum is σ = 4031741952. Its totient is φ = 265973760.

The previous prime is 1143133661. The next prime is 1143133697. The reversal of 1143133680 is 863313411.

It is a super-2 number, since 2×1143133680² = 2613509220700684800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 63 ways as a sum of consecutive naturals, for example, 5126049 + ... + 5126271.

Almost surely, 2^1143133680 is an apocalyptic number.

1143133680 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 1143133680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2015870976).

1143133680 is an abundant number, since it is smaller than the sum of its proper divisors (2888608272).

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

1143133680 is a wasteful number, since it uses less digits than its factorization.

1143133680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 1143133680 is about 33810.2599812542. The cubic root of 1143133680 is about 1045.6002381776.

The spelling of 1143133680 in words is "one billion, one hundred forty-three million, one hundred thirty-three thousand, six hundred eighty".