133048312107649 has 9 divisors (see below), whose sum is σ = 134896712297673. Its totient is φ = 131224901994432.

The previous prime is 133048312107619. The next prime is 133048312107677. The reversal of 133048312107649 is 946701213840331.

The square root of 133048312107649 is 11534657.

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 62161476905025 + 70886835202624 = 7884255^2 + 8419432^2 .

It is not a de Polignac number, because 133048312107649 - 2¹³ = 133048312099457 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133048312107596 and 133048312107605.

It is not an unprimeable number, because it can be changed into a prime (133048312107619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 841950957 + ... + 842108965.

Almost surely, 2^{133048312107649} is an apocalyptic number.

133048312107649 is the 11534657-th square number.

133048312107649 is the 5767329-th centered octagonal number.

It is an amenable number.

133048312107649 is a deficient number, since it is larger than the sum of its proper divisors (1848400190024).

133048312107649 is an frugal number, since it uses more digits than its factorization.

133048312107649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316164 (or 158082 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 133048312107649 in words is "one hundred thirty-three trillion, forty-eight billion, three hundred twelve million, one hundred seven thousand, six hundred forty-nine".