133658241649 has 9 divisors (see below), whose sum is σ = 135086208417. Its totient is φ = 132245224704.

The previous prime is 133658241599. The next prime is 133658241659. The reversal of 133658241649 is 946142856331.

The square root of 133658241649 is 365593.

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 12253383025 + 121404858624 = 110695^2 + 348432^2 .

It is not a de Polignac number, because 133658241649 - 2⁹ = 133658241137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133658241596 and 133658241605.

It is not an unprimeable number, because it can be changed into a prime (133658241659) 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, 35460637 + ... + 35464405.

It is an arithmetic number, because the mean of its divisors is an integer number (15009578713).

Almost surely, 2^133658241649 is an apocalyptic number.

133658241649 is the 365593-rd square number.

133658241649 is the 182797-th centered octagonal number.

It is an amenable number.

133658241649 is a deficient number, since it is larger than the sum of its proper divisors (1427966768).

133658241649 is an frugal number, since it uses more digits than its factorization.

133658241649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7732 (or 3866 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 52.

The spelling of 133658241649 in words is "one hundred thirty-three billion, six hundred fifty-eight million, two hundred forty-one thousand, six hundred forty-nine".