1143261000 has 512 divisors, whose sum is σ = 4744396800. Its totient is φ = 249004800.

The previous prime is 1143260953. The next prime is 1143261011. The reversal of 1143261000 is 1623411.

It is a happy number.

1143261000 is a `hidden beast` number, since 11 + 43 + 2 + 610 + 0 + 0 = 666.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 4346869 + ... + 4347131.

It is an arithmetic number, because the mean of its divisors is an integer number (9266400).

Almost surely, 2^1143261000 is an apocalyptic number.

1143261000 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 1143261000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2372198400).

1143261000 is an abundant number, since it is smaller than the sum of its proper divisors (3601135800).

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

1143261000 is a wasteful number, since it uses less digits than its factorization.

1143261000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

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

The square root of 1143261000 is about 33812.1427892407. The cubic root of 1143261000 is about 1045.6390557083.

Adding to 1143261000 its reverse (1623411), we get a palindrome (1144884411).

The spelling of 1143261000 in words is "one billion, one hundred forty-three million, two hundred sixty-one thousand".