2010134012144 has 80 divisors (see below), whose sum is σ = 4136069857920. Its totient is φ = 944751548160.

The previous prime is 2010134012129. The next prime is 2010134012167. The reversal of 2010134012144 is 4412104310102.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5961179 + ... + 6289349.

It is an arithmetic number, because the mean of its divisors is an integer number (51700873224).

Almost surely, 2^{2010134012144} 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 2010134012144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2068034928960).

2010134012144 is an abundant number, since it is smaller than the sum of its proper divisors (2125935845776).

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

2010134012144 is a wasteful number, since it uses less digits than its factorization.

2010134012144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328558 (or 328552 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2010134012144 its reverse (4412104310102), we get a palindrome (6422238322246).

The spelling of 2010134012144 in words is "two trillion, ten billion, one hundred thirty-four million, twelve thousand, one hundred forty-four".