1141138000 has 40 divisors (see below), whose sum is σ = 2759276520. Its totient is φ = 456454400.

The previous prime is 1141137997. The next prime is 1141138001. The reversal of 1141138000 is 8311411.

It can be written as a sum of positive squares in 4 ways, for example, as 12446784 + 1128691216 = 3528^2 + 33596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141138001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 283285 + ... + 287284.

It is an arithmetic number, because the mean of its divisors is an integer number (68981913).

Almost surely, 2^1141138000 is an apocalyptic number.

1141138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141138000 is an abundant number, since it is smaller than the sum of its proper divisors (1618138520).

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

1141138000 is an equidigital number, since it uses as much as digits as its factorization.

1141138000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570592 (or 570576 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 19.

The square root of 1141138000 is about 33780.7341542483. The cubic root of 1141138000 is about 1044.9914149612.

Adding to 1141138000 its reverse (8311411), we get a palindrome (1149449411).

The spelling of 1141138000 in words is "one billion, one hundred forty-one million, one hundred thirty-eight thousand".