2134740137520 has 320 divisors, whose sum is σ = 7210113523200. Its totient is φ = 520423464960.

The previous prime is 2134740137489. The next prime is 2134740137527. The reversal of 2134740137520 is 257310474312.

It is not an unprimeable number, because it can be changed into a prime (2134740137527) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 348184855 + ... + 348190985.

It is an arithmetic number, because the mean of its divisors is an integer number (22531604760).

Almost surely, 2^{2134740137520} is an apocalyptic number.

2134740137520 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 2134740137520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3605056761600).

2134740137520 is an abundant number, since it is smaller than the sum of its proper divisors (5075373385680).

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

2134740137520 is a wasteful number, since it uses less digits than its factorization.

2134740137520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8828 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The spelling of 2134740137520 in words is "two trillion, one hundred thirty-four billion, seven hundred forty million, one hundred thirty-seven thousand, five hundred twenty".