1142131177000 has 128 divisors (see below), whose sum is σ = 2931662522880. Its totient is φ = 413025120000.

The previous prime is 1142131176931. The next prime is 1142131177043. The reversal of 1142131177000 is 7711312411.

It is a self number, because there is not a number n which added to its sum of digits gives 1142131177000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1704177 + ... + 2277823.

It is an arithmetic number, because the mean of its divisors is an integer number (22903613460).

Almost surely, 2^{1142131177000} is an apocalyptic number.

1142131177000 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 1142131177000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465831261440).

1142131177000 is an abundant number, since it is smaller than the sum of its proper divisors (1789531345880).

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

1142131177000 is a wasteful number, since it uses less digits than its factorization.

1142131177000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573860 (or 573846 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

Adding to 1142131177000 its reverse (7711312411), we get a palindrome (1149842489411).

It can be divided in two parts, 1142131 and 177000, that added together give a palindrome (1319131).

The spelling of 1142131177000 in words is "one trillion, one hundred forty-two billion, one hundred thirty-one million, one hundred seventy-seven thousand".