133768036736667 has 24 divisors (see below), whose sum is σ = 193324631610240. Its totient is φ = 89130632697600.

The previous prime is 133768036736629. The next prime is 133768036736723. The reversal of 133768036736667 is 766637630867331.

It is not a de Polignac number, because 133768036736667 - 2¹⁰ = 133768036735643 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133768036736595 and 133768036736604.

It is not an unprimeable number, because it can be changed into a prime (133768036736767) 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, 524702134 + ... + 524957012.

It is an arithmetic number, because the mean of its divisors is an integer number (8055192983760).

Almost surely, 2^{133768036736667} is an apocalyptic number.

133768036736667 is a deficient number, since it is larger than the sum of its proper divisors (59556594873573).

133768036736667 is a wasteful number, since it uses less digits than its factorization.

133768036736667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286083 (or 286080 counting only the distinct ones).

The product of its (nonzero) digits is 1728324864, while the sum is 72.

The spelling of 133768036736667 in words is "one hundred thirty-three trillion, seven hundred sixty-eight billion, thirty-six million, seven hundred thirty-six thousand, six hundred sixty-seven".