2134145104000 has 1024 divisors, whose sum is σ = 6718540308480. Its totient is φ = 656308224000.

The previous prime is 2134145103977. The next prime is 2134145104001. The reversal of 2134145104000 is 4015414312.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2134145104001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12779311917 + ... + 12779312083.

It is an arithmetic number, because the mean of its divisors is an integer number (6561074520).

Almost surely, 2^{2134145104000} is an apocalyptic number.

2134145104000 is a gapful number since it is divisible by the number (20) 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 2134145104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359270154240).

2134145104000 is an abundant number, since it is smaller than the sum of its proper divisors (4584395204480).

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

2134145104000 is a wasteful number, since it uses less digits than its factorization.

2134145104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The spelling of 2134145104000 in words is "two trillion, one hundred thirty-four billion, one hundred forty-five million, one hundred four thousand".