137270225006271 has 96 divisors (see below), whose sum is σ = 234642496757760. Its totient is φ = 75663051754752.

The previous prime is 137270225006267. The next prime is 137270225006309. The reversal of 137270225006271 is 172600522072731.

137270225006271 is a `hidden beast` number, since 1 + 3 + 7 + 2 + 70 + 2 + 2 + 500 + 6 + 2 + 71 = 666.

It is not a de Polignac number, because 137270225006271 - 2² = 137270225006267 is a prime.

It is a super-2 number, since 2×137270225006271² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137270225006261) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12016997266 + ... + 12017008688.

It is an arithmetic number, because the mean of its divisors is an integer number (2444192674560).

Almost surely, 2^{137270225006271} is an apocalyptic number.

137270225006271 is a deficient number, since it is larger than the sum of its proper divisors (97372271751489).

137270225006271 is a wasteful number, since it uses less digits than its factorization.

137270225006271 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17165 (or 17162 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 137270225006271 in words is "one hundred thirty-seven trillion, two hundred seventy billion, two hundred twenty-five million, six thousand, two hundred seventy-one".