82157736141 has 24 divisors (see below), whose sum is σ = 127813061376. Its totient is φ = 50553804960.

The previous prime is 82157736041. The next prime is 82157736149. The reversal of 82157736141 is 14163775128.

82157736141 is a `hidden beast` number, since 8 + 2 + 1 + 577 + 36 + 1 + 41 = 666.

It is not a de Polignac number, because 82157736141 - 2³⁴ = 64977866957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82157736149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1506256 + ... + 1559846.

It is an arithmetic number, because the mean of its divisors is an integer number (5325544224).

Almost surely, 2^82157736141 is an apocalyptic number.

It is an amenable number.

82157736141 is a deficient number, since it is larger than the sum of its proper divisors (45655325235).

82157736141 is a wasteful number, since it uses less digits than its factorization.

82157736141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66713 (or 66710 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The spelling of 82157736141 in words is "eighty-two billion, one hundred fifty-seven million, seven hundred thirty-six thousand, one hundred forty-one".