137724503006871 has 16 divisors (see below), whose sum is σ = 222585055365120. Its totient is φ = 83469395761560.

The previous prime is 137724503006869. The next prime is 137724503006891. The reversal of 137724503006871 is 178600305427731.

137724503006871 is a `hidden beast` number, since 1 + 3 + 7 + 7 + 2 + 4 + 503 + 0 + 0 + 68 + 71 = 666.

It is not a de Polignac number, because 137724503006871 - 2¹ = 137724503006869 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137724503006891) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231859432375 + ... + 231859432968.

It is an arithmetic number, because the mean of its divisors is an integer number (13911565960320).

Almost surely, 2^{137724503006871} is an apocalyptic number.

137724503006871 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137724503006871 is a deficient number, since it is larger than the sum of its proper divisors (84860552358249).

137724503006871 is a wasteful number, since it uses less digits than its factorization.

137724503006871 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463718865363 (or 463718865357 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 137724503006871 in words is "one hundred thirty-seven trillion, seven hundred twenty-four billion, five hundred three million, six thousand, eight hundred seventy-one".