1000133140 has 12 divisors (see below), whose sum is σ = 2100279636. Its totient is φ = 400053248.

The previous prime is 1000133111. The next prime is 1000133149. The reversal of 1000133140 is 413310001.

1000133140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 282643344 + 717489796 = 16812^2 + 26786^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1000133140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000133149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25003309 + ... + 25003348.

It is an arithmetic number, because the mean of its divisors is an integer number (175023303).

Almost surely, 2^1000133140 is an apocalyptic number.

1000133140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000133140 is an abundant number, since it is smaller than the sum of its proper divisors (1100146496).

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

1000133140 is a wasteful number, since it uses less digits than its factorization.

1000133140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50006666 (or 50006664 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000133140 is about 31624.8816598576. The cubic root of 1000133140 is about 1000.0443780306.

Adding to 1000133140 its reverse (413310001), we get a palindrome (1413443141).

The spelling of 1000133140 in words is "one billion, one hundred thirty-three thousand, one hundred forty".