134272484272431 has 64 divisors (see below), whose sum is σ = 210354167009280. Its totient is φ = 84511791936000.

The previous prime is 134272484272427. The next prime is 134272484272441.

It is a happy number.

134272484272431 is a `hidden beast` number, since 1 + 3 + 42 + 7 + 24 + 84 + 2 + 72 + 431 = 666.

134272484272431 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 134272484272431 - 2² = 134272484272427 is a prime.

It is a super-2 number, since 2×134272484272431² (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 (134272484272441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1766635476 + ... + 1766711478.

It is an arithmetic number, because the mean of its divisors is an integer number (3286783859520).

Almost surely, 2^{134272484272431} is an apocalyptic number.

134272484272431 is a deficient number, since it is larger than the sum of its proper divisors (76081682736849).

134272484272431 is a wasteful number, since it uses less digits than its factorization.

134272484272431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127565 (or 127559 counting only the distinct ones).

The product of its digits is 14450688, while the sum is 54.

It can be divided in two parts, 1342724 and 84272431, that added together give a triangular number (85615155 = T₁₃₀₈₅).

The spelling of 134272484272431 in words is "one hundred thirty-four trillion, two hundred seventy-two billion, four hundred eighty-four million, two hundred seventy-two thousand, four hundred thirty-one".