814034410137 has 48 divisors (see below), whose sum is σ = 1346663660160. Its totient is φ = 469686076416.

The previous prime is 814034410109. The next prime is 814034410141. The reversal of 814034410137 is 731014430418.

814034410137 is a `hidden beast` number, since 81 + 4 + 0 + 3 + 441 + 0 + 137 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-814034410137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (814034410537) 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, 1671933 + ... + 2103194.

It is an arithmetic number, because the mean of its divisors is an integer number (28055492920).

Almost surely, 2^814034410137 is an apocalyptic number.

It is an amenable number.

814034410137 is a deficient number, since it is larger than the sum of its proper divisors (532629250023).

814034410137 is a wasteful number, since it uses less digits than its factorization.

814034410137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775262 (or 3775259 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 814034410137 in words is "eight hundred fourteen billion, thirty-four million, four hundred ten thousand, one hundred thirty-seven".