2138348714130 has 96 divisors (see below), whose sum is σ = 5710824969408. Its totient is φ = 554731632000.

The previous prime is 2138348714071. The next prime is 2138348714171. The reversal of 2138348714130 is 314178438312.

2138348714130 is a `hidden beast` number, since 2 + 1 + 38 + 3 + 487 + 1 + 4 + 130 = 666.

It is a super-3 number, since 3×2138348714130³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23968105 + ... + 24057155.

It is an arithmetic number, because the mean of its divisors is an integer number (59487760098).

Almost surely, 2^{2138348714130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138348714130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2855412484704).

2138348714130 is an abundant number, since it is smaller than the sum of its proper divisors (3572476255278).

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

2138348714130 is a wasteful number, since it uses less digits than its factorization.

2138348714130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96312 (or 96309 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 2138348714130 in words is "two trillion, one hundred thirty-eight billion, three hundred forty-eight million, seven hundred fourteen thousand, one hundred thirty".