134706756792976 has 45 divisors (see below), whose sum is σ = 261407770551291. Its totient is φ = 67246855554816.

The previous prime is 134706756792953. The next prime is 134706756792983. The reversal of 134706756792976 is 679297657607431.

The square root of 134706756792976 is 11606324.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4416403122576 + 130290353670400 = 2101524^2 + 11414480^2 .

It is a super-3 number, since 3×134706756792976³ (a number of 43 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 134706756792896 and 134706756792905.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 35143947156 + ... + 35143950988.

Almost surely, 2^{134706756792976} is an apocalyptic number.

134706756792976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

134706756792976 is the 11606324-th square number.

It is an amenable number.

134706756792976 is a deficient number, since it is larger than the sum of its proper divisors (126701013758315).

134706756792976 is an frugal number, since it uses more digits than its factorization.

134706756792976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9188 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 5040947520, while the sum is 79.

The spelling of 134706756792976 in words is "one hundred thirty-four trillion, seven hundred six billion, seven hundred fifty-six million, seven hundred ninety-two thousand, nine hundred seventy-six".