133735185458449 has 9 divisors (see below), whose sum is σ = 135255752548977. Its totient is φ = 132231525258624.

The previous prime is 133735185458437. The next prime is 133735185458467. The reversal of 133735185458449 is 944854581537331.

The square root of 133735185458449 is 11564393.

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 29739407958225 + 103995777500224 = 5453385^2 + 10197832^2 .

It is not a de Polignac number, because 133735185458449 - 2²³ = 133735177069841 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133735185458249) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1029166009 + ... + 1029295945.

Almost surely, 2^{133735185458449} is an apocalyptic number.

133735185458449 is the 11564393-rd square number.

133735185458449 is the 5782197-th centered octagonal number.

It is an amenable number.

133735185458449 is a deficient number, since it is larger than the sum of its proper divisors (1520567090528).

133735185458449 is an frugal number, since it uses more digits than its factorization.

133735185458449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260052 (or 130026 counting only the distinct ones).

The product of its digits is 870912000, while the sum is 70.

The spelling of 133735185458449 in words is "one hundred thirty-three trillion, seven hundred thirty-five billion, one hundred eighty-five million, four hundred fifty-eight thousand, four hundred forty-nine".