137534624271 has 32 divisors (see below), whose sum is σ = 227699619840. Its totient is φ = 81321278400.

The previous prime is 137534624257. The next prime is 137534624317. The reversal of 137534624271 is 172426435731.

It is a happy number.

137534624271 is a `hidden beast` number, since 1 + 3 + 7 + 534 + 6 + 2 + 42 + 71 = 666.

It is not a de Polignac number, because 137534624271 - 2⁶ = 137534624207 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137534624971) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5635135 + ... + 5659488.

It is an arithmetic number, because the mean of its divisors is an integer number (7115613120).

Almost surely, 2^137534624271 is an apocalyptic number.

137534624271 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137534624271 is a deficient number, since it is larger than the sum of its proper divisors (90164995569).

137534624271 is a wasteful number, since it uses less digits than its factorization.

137534624271 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11294684 (or 11294678 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 137534624271 in words is "one hundred thirty-seven billion, five hundred thirty-four million, six hundred twenty-four thousand, two hundred seventy-one".