134267744306385 has 32 divisors (see below), whose sum is σ = 238774304090880. Its totient is φ = 71586636033024.

The previous prime is 134267744306327. The next prime is 134267744306417. The reversal of 134267744306385 is 583603447762431.

134267744306385 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 67 + 7 + 4 + 430 + 63 + 85 = 666.

It is not a de Polignac number, because 134267744306385 - 2⁹ = 134267744305873 is a prime.

It is a super-2 number, since 2×134267744306385² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158099917 + ... + 158946906.

It is an arithmetic number, because the mean of its divisors is an integer number (7461697002840).

Almost surely, 2^{134267744306385} is an apocalyptic number.

134267744306385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134267744306385 is a deficient number, since it is larger than the sum of its proper divisors (104506559784495).

134267744306385 is a wasteful number, since it uses less digits than its factorization.

134267744306385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317049974 (or 317049968 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 63.

The spelling of 134267744306385 in words is "one hundred thirty-four trillion, two hundred sixty-seven billion, seven hundred forty-four million, three hundred six thousand, three hundred eighty-five".