134345352000105 has 24 divisors (see below), whose sum is σ = 232865565164232. Its totient is φ = 71650765672704.

The previous prime is 134345352000103. The next prime is 134345352000113. The reversal of 134345352000105 is 501000253543431.

134345352000105 is a `hidden beast` number, since 1 + 3 + 4 + 345 + 3 + 5 + 200 + 0 + 105 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 30030443840016 + 104314908160089 = 5480004^2 + 10213467^2 .

It is not a de Polignac number, because 134345352000105 - 2¹ = 134345352000103 is a prime.

It is a super-2 number, since 2×134345352000105² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 134345352000105.

It is not an unprimeable number, because it can be changed into a prime (134345352000103) 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, 52370997 + ... + 54876333.

It is an arithmetic number, because the mean of its divisors is an integer number (9702731881843).

Almost surely, 2^{134345352000105} is an apocalyptic number.

134345352000105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

134345352000105 is a deficient number, since it is larger than the sum of its proper divisors (98520213164127).

134345352000105 is a wasteful number, since it uses less digits than its factorization.

134345352000105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3696985 (or 3696982 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 134345352000105 in words is "one hundred thirty-four trillion, three hundred forty-five billion, three hundred fifty-two million, one hundred five", and thus it is an aban number.