1140133741152 has 768 divisors, whose sum is σ = 4009400156160. Its totient is φ = 275632422912.

The previous prime is 1140133741151. The next prime is 1140133741157. The reversal of 1140133741152 is 2511473310411.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140133741151) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 683942623 + ... + 683944289.

It is an arithmetic number, because the mean of its divisors is an integer number (5220573120).

Almost surely, 2^{1140133741152} is an apocalyptic number.

1140133741152 is a gapful number since it is divisible by the number (12) 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 1140133741152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004700078080).

1140133741152 is an abundant number, since it is smaller than the sum of its proper divisors (2869266415008).

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

1140133741152 is a wasteful number, since it uses less digits than its factorization.

1140133741152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1875 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 1140133741152 in words is "one trillion, one hundred forty billion, one hundred thirty-three million, seven hundred forty-one thousand, one hundred fifty-two".