2134131134432 has 216 divisors, whose sum is σ = 4736345313168. Its totient is φ = 945683200000.

The previous prime is 2134131134407. The next prime is 2134131134441. The reversal of 2134131134432 is 2344311314312.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2804376932 + ... + 2804377692.

It is an arithmetic number, because the mean of its divisors is an integer number (21927524598).

Almost surely, 2^{2134131134432} is an apocalyptic number.

2134131134432 is a gapful number since it is divisible by the number (22) 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 2134131134432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2368172656584).

2134131134432 is an abundant number, since it is smaller than the sum of its proper divisors (2602214178736).

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

2134131134432 is a wasteful number, since it uses less digits than its factorization.

2134131134432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 946 counting only the distinct ones).

The product of its digits is 20736, while the sum is 32.

Adding to 2134131134432 its reverse (2344311314312), we get a palindrome (4478442448744).

The spelling of 2134131134432 in words is "two trillion, one hundred thirty-four billion, one hundred thirty-one million, one hundred thirty-four thousand, four hundred thirty-two".