20137460117075 has 192 divisors, whose sum is σ = 31085638391808. Its totient is φ = 12628671897600.

The previous prime is 20137460117023. The next prime is 20137460117101. The reversal of 20137460117075 is 57071106473102.

It is not a de Polignac number, because 20137460117075 - 2¹⁰ = 20137460116051 is a prime.

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 191 ways as a sum of consecutive naturals, for example, 5686939805 + ... + 5686943345.

It is an arithmetic number, because the mean of its divisors is an integer number (161904366624).

Almost surely, 2^{20137460117075} is an apocalyptic number.

20137460117075 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

20137460117075 is a deficient number, since it is larger than the sum of its proper divisors (10948178274733).

20137460117075 is a wasteful number, since it uses less digits than its factorization.

20137460117075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4022 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 44.

The spelling of 20137460117075 in words is "twenty trillion, one hundred thirty-seven billion, four hundred sixty million, one hundred seventeen thousand, seventy-five".