137067615963971 has 24 divisors (see below), whose sum is σ = 179939062113840. Its totient is φ = 103122971246400.

The previous prime is 137067615963931. The next prime is 137067615963989. The reversal of 137067615963971 is 179369516760731.

It is not a de Polignac number, because 137067615963971 - 2¹⁰ = 137067615962947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137067615963895 and 137067615963904.

It is not an unprimeable number, because it can be changed into a prime (137067615963931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4384464440 + ... + 4384495701.

It is an arithmetic number, because the mean of its divisors is an integer number (7497460921410).

Almost surely, 2^{137067615963971} is an apocalyptic number.

137067615963971 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137067615963971 is a deficient number, since it is larger than the sum of its proper divisors (42871446149869).

137067615963971 is a wasteful number, since it uses less digits than its factorization.

137067615963971 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8768960195 (or 8768960188 counting only the distinct ones).

The product of its (nonzero) digits is 270050760, while the sum is 71.

The spelling of 137067615963971 in words is "one hundred thirty-seven trillion, sixty-seven billion, six hundred fifteen million, nine hundred sixty-three thousand, nine hundred seventy-one".