1141530000 has 200 divisors, whose sum is σ = 3969829248. Its totient is φ = 280896000.

The previous prime is 1141529993. The next prime is 1141530023. The reversal of 1141530000 is 351411.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 388537 + ... + 391463.

Almost surely, 2^1141530000 is an apocalyptic number.

1141530000 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 1141530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1984914624).

1141530000 is an abundant number, since it is smaller than the sum of its proper divisors (2828299248).

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

1141530000 is a wasteful number, since it uses less digits than its factorization.

1141530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2971 (or 2950 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1141530000 is about 33786.5357798044. The cubic root of 1141530000 is about 1045.1110586087. Note that the first 3 decimals are identical.

Adding to 1141530000 its reverse (351411), we get a palindrome (1141881411).

The spelling of 1141530000 in words is "one billion, one hundred forty-one million, five hundred thirty thousand".