71281638153 has 48 divisors (see below), whose sum is σ = 115895759616. Its totient is φ = 41845662720.

The previous prime is 71281638133. The next prime is 71281638227. The reversal of 71281638153 is 35183618217.

It is a happy number.

71281638153 is a `hidden beast` number, since 7 + 1 + 2 + 8 + 1 + 638 + 1 + 5 + 3 = 666.

It is not a de Polignac number, because 71281638153 - 2¹⁰ = 71281637129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71281638099 and 71281638108.

It is not an unprimeable number, because it can be changed into a prime (71281638133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372375 + ... + 530307.

It is an arithmetic number, because the mean of its divisors is an integer number (2414494992).

Almost surely, 2^71281638153 is an apocalyptic number.

It is an amenable number.

71281638153 is a deficient number, since it is larger than the sum of its proper divisors (44614121463).

71281638153 is a wasteful number, since it uses less digits than its factorization.

71281638153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158094 (or 158091 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 71281638153 in words is "seventy-one billion, two hundred eighty-one million, six hundred thirty-eight thousand, one hundred fifty-three".