20135144617875 has 192 divisors, whose sum is σ = 43406988558336. Its totient is φ = 8785682496000.

The previous prime is 20135144617871. The next prime is 20135144617949. The reversal of 20135144617875 is 57871644153102.

20135144617875 is a `hidden beast` number, since 2 + 0 + 1 + 3 + 5 + 14 + 4 + 617 + 8 + 7 + 5 = 666.

It is not a de Polignac number, because 20135144617875 - 2² = 20135144617871 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20135144617871) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 17256202 + ... + 18386048.

It is an arithmetic number, because the mean of its divisors is an integer number (226078065408).

Almost surely, 2^{20135144617875} is an apocalyptic number.

20135144617875 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20135144617875 is an abundant number, since it is smaller than the sum of its proper divisors (23271843940461).

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

20135144617875 is a wasteful number, since it uses less digits than its factorization.

20135144617875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129979 (or 1129966 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 20135144617875 in words is "twenty trillion, one hundred thirty-five billion, one hundred forty-four million, six hundred seventeen thousand, eight hundred seventy-five".