2134056742146 has 256 divisors, whose sum is σ = 5839065169920. Its totient is φ = 563880683520.

The previous prime is 2134056742063. The next prime is 2134056742193. The reversal of 2134056742146 is 6412476504312.

2134056742146 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 0 + 567 + 42 + 1 + 46 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 127117165 + ... + 127133951.

It is an arithmetic number, because the mean of its divisors is an integer number (22808848320).

Almost surely, 2^{2134056742146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134056742146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919532584960).

2134056742146 is an abundant number, since it is smaller than the sum of its proper divisors (3705008427774).

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

2134056742146 is a wasteful number, since it uses less digits than its factorization.

2134056742146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17166 (or 17160 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 2134056742146 in words is "two trillion, one hundred thirty-four billion, fifty-six million, seven hundred forty-two thousand, one hundred forty-six".