2660005146133 has 16 divisors (see below), whose sum is σ = 2842479866160. Its totient is φ = 2480422404096.

The previous prime is 2660005146053. The next prime is 2660005146137. The reversal of 2660005146133 is 3316415000662.

2660005146133 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1094321025604 + 1565684120529 = 1046098^2 + 1251273^2 .

It is a cyclic number.

It is not a de Polignac number, because 2660005146133 - 2¹⁷ = 2660005015061 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2660005146092 and 2660005146101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2660005146137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45319141 + ... + 45377797.

It is an arithmetic number, because the mean of its divisors is an integer number (177654991635).

Almost surely, 2^{2660005146133} is an apocalyptic number.

It is an amenable number.

2660005146133 is a deficient number, since it is larger than the sum of its proper divisors (182474720027).

2660005146133 is a wasteful number, since it uses less digits than its factorization.

2660005146133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83256.

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 2660005146133 in words is "two trillion, six hundred sixty billion, five million, one hundred forty-six thousand, one hundred thirty-three".