133126690106916 has 405 divisors, whose sum is σ = 403858478136267. Its totient is φ = 38205727449120.

The previous prime is 133126690106849. The next prime is 133126690107029. The reversal of 133126690106916 is 619601096621331.

The square root of 133126690106916 is 11538054.

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

133126690106916 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×133126690106916² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 43406157615 + ... + 43406160681.

Almost surely, 2^{133126690106916} is an apocalyptic number.

133126690106916 is the 11538054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133126690106916

133126690106916 is an abundant number, since it is smaller than the sum of its proper divisors (270731788029351).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133126690106916 is an equidigital number, since it uses as much as digits as its factorization.

133126690106916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6210 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 1889568, while the sum is 54.

The spelling of 133126690106916 in words is "one hundred thirty-three trillion, one hundred twenty-six billion, six hundred ninety million, one hundred six thousand, nine hundred sixteen".