20135142752256 has 240 divisors, whose sum is σ = 66477977280000. Its totient is φ = 5752888492032.

The previous prime is 20135142752243. The next prime is 20135142752303. The reversal of 20135142752256 is 65225724153102.

It is a happy number.

20135142752256 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 51 + 4 + 27 + 522 + 56 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32725345 + ... + 33334943.

It is an arithmetic number, because the mean of its divisors is an integer number (276991572000).

Almost surely, 2^{20135142752256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20135142752256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33238988640000).

20135142752256 is an abundant number, since it is smaller than the sum of its proper divisors (46342834527744).

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

20135142752256 is an frugal number, since it uses more digits than its factorization.

20135142752256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609650 (or 609611 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 20135142752256 in words is "twenty trillion, one hundred thirty-five billion, one hundred forty-two million, seven hundred fifty-two thousand, two hundred fifty-six".