2136124068288 has 224 divisors, whose sum is σ = 6486533168640. Its totient is φ = 607747276800.

The previous prime is 2136124068283. The next prime is 2136124068311. The reversal of 2136124068288 is 8828604216312.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 2136124068288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136124068283) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 331127463 + ... + 331133913.

It is an arithmetic number, because the mean of its divisors is an integer number (28957737360).

Almost surely, 2^{2136124068288} is an apocalyptic number.

2136124068288 is a gapful number since it is divisible by the number (28) 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 2136124068288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243266584320).

2136124068288 is an abundant number, since it is smaller than the sum of its proper divisors (4350409100352).

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

2136124068288 is a wasteful number, since it uses less digits than its factorization.

2136124068288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7475 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 51.

The spelling of 2136124068288 in words is "two trillion, one hundred thirty-six billion, one hundred twenty-four million, sixty-eight thousand, two hundred eighty-eight".