134706756792896 has 14 divisors (see below), whose sum is σ = 267308720511030. Its totient is φ = 67353378396416.

The previous prime is 134706756792893. The next prime is 134706756792899. The reversal of 134706756792896 is 698297657607431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134706756792893) and next prime (134706756792899).

It can be written as a sum of positive squares in only one way, i.e., 125314591360000 + 9392165432896 = 11194400^2 + 3064664^2 .

It is a super-3 number, since 3×134706756792896³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 134706756792896.

It is not an unprimeable number, because it can be changed into a prime (134706756792893) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1052396537381 + ... + 1052396537508.

It is a 1-persistent number, because it is pandigital, but 2⋅134706756792896 = 269413513585792 is not.

Almost surely, 2^{134706756792896} is an apocalyptic number.

134706756792896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

134706756792896 is a deficient number, since it is larger than the sum of its proper divisors (132601963718134).

134706756792896 is an equidigital number, since it uses as much as digits as its factorization.

134706756792896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2104793074901 (or 2104793074891 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 80.

Adding to 134706756792896 its sum of digits (80), we get a square (134706756792976 = 11606324²).

The spelling of 134706756792896 in words is "one hundred thirty-four trillion, seven hundred six billion, seven hundred fifty-six million, seven hundred ninety-two thousand, eight hundred ninety-six".