814101067134 has 24 divisors (see below), whose sum is σ = 1856721732840. Its totient is φ = 257084547408.

The previous prime is 814101067127. The next prime is 814101067141. The reversal of 814101067134 is 431760101418.

814101067134 is a `hidden beast` number, since 8 + 1 + 410 + 106 + 7 + 134 = 666.

It is an interprime number because it is at equal distance from previous prime (814101067127) and next prime (814101067141).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1190205897 + ... + 1190206580.

It is an arithmetic number, because the mean of its divisors is an integer number (77363405535).

Almost surely, 2^814101067134 is an apocalyptic number.

814101067134 is an abundant number, since it is smaller than the sum of its proper divisors (1042620665706).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

814101067134 is a wasteful number, since it uses less digits than its factorization.

814101067134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2380412504 (or 2380412501 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 814101067134 in words is "eight hundred fourteen billion, one hundred one million, sixty-seven thousand, one hundred thirty-four".