1002141300144 has 160 divisors (see below), whose sum is σ = 2666418338304. Its totient is φ = 324196669440.

The previous prime is 1002141300143. The next prime is 1002141300163. The reversal of 1002141300144 is 4410031412001.

It is a self number, because there is not a number n which added to its sum of digits gives 1002141300144.

It is not an unprimeable number, because it can be changed into a prime (1002141300143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231599709 + ... + 231604035.

Almost surely, 2^{1002141300144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1002141300144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1333209169152).

1002141300144 is an abundant number, since it is smaller than the sum of its proper divisors (1664277038160).

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

1002141300144 is a wasteful number, since it uses less digits than its factorization.

1002141300144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5435 (or 5429 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 1002141300144 its reverse (4410031412001), we get a palindrome (5412172712145).

The spelling of 1002141300144 in words is "one trillion, two billion, one hundred forty-one million, three hundred thousand, one hundred forty-four".