1681586152137 has 24 divisors (see below), whose sum is σ = 2558359964160. Its totient is φ = 1061405454240.

The previous prime is 1681586152121. The next prime is 1681586152159. The reversal of 1681586152137 is 7312516851861.

1681586152137 is a `hidden beast` number, since 1 + 6 + 8 + 1 + 5 + 8 + 615 + 2 + 13 + 7 = 666.

It is not a de Polignac number, because 1681586152137 - 2⁴ = 1681586152121 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1681586157137) 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, 2723689 + ... + 3283542.

It is an arithmetic number, because the mean of its divisors is an integer number (106598331840).

Almost surely, 2^{1681586152137} is an apocalyptic number.

It is an amenable number.

1681586152137 is a deficient number, since it is larger than the sum of its proper divisors (876773812023).

1681586152137 is a wasteful number, since it uses less digits than its factorization.

1681586152137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6008893 (or 6008890 counting only the distinct ones).

The product of its digits is 2419200, while the sum is 54.

The spelling of 1681586152137 in words is "one trillion, six hundred eighty-one billion, five hundred eighty-six million, one hundred fifty-two thousand, one hundred thirty-seven".