2137185142344 has 128 divisors (see below), whose sum is σ = 6791114476800. Its totient is φ = 610048350720.

The previous prime is 2137185142297. The next prime is 2137185142349. The reversal of 2137185142344 is 4432415817312.

2137185142344 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 185 + 1 + 423 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2137185142344.

It is not an unprimeable number, because it can be changed into a prime (2137185142349) 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, 938124 + ... + 2270340.

It is an arithmetic number, because the mean of its divisors is an integer number (53055581850).

Almost surely, 2^{2137185142344} is an apocalyptic number.

2137185142344 is a gapful number since it is divisible by the number (24) 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 2137185142344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395557238400).

2137185142344 is an abundant number, since it is smaller than the sum of its proper divisors (4653929334456).

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

2137185142344 is a wasteful number, since it uses less digits than its factorization.

2137185142344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1333300 (or 1333290 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 2137185142344 in words is "two trillion, one hundred thirty-seven billion, one hundred eighty-five million, one hundred forty-two thousand, three hundred forty-four".