1142136490144 has 48 divisors (see below), whose sum is σ = 2427015642912. Its totient is φ = 525949901568.

The previous prime is 1142136490133. The next prime is 1142136490153. The reversal of 1142136490144 is 4410946312411.

It is a junction number, because it is equal to n+sod(n) for n = 1142136490097 and 1142136490106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2914494 + ... + 3283069.

It is an arithmetic number, because the mean of its divisors is an integer number (50562825894).

Almost surely, 2^{1142136490144} is an apocalyptic number.

It is an amenable number.

1142136490144 is an abundant number, since it is smaller than the sum of its proper divisors (1284879152768).

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

1142136490144 is a wasteful number, since it uses less digits than its factorization.

1142136490144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198029 (or 6198021 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The spelling of 1142136490144 in words is "one trillion, one hundred forty-two billion, one hundred thirty-six million, four hundred ninety thousand, one hundred forty-four".