135134906449 has 27 divisors (see below), whose sum is σ = 141410410857. Its totient is φ = 129135927816.

The previous prime is 135134906393. The next prime is 135134906477. The reversal of 135134906449 is 944609431531.

It is a happy number.

The square root of 135134906449 is 367607.

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

It is not a de Polignac number, because 135134906449 - 2¹⁵ = 135134873681 is a prime.

It is a super-2 number, since 2×135134906449² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135134906149) 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 26 ways as a sum of consecutive naturals, for example, 1311989332 + ... + 1311989434.

Almost surely, 2^135134906449 is an apocalyptic number.

135134906449 is the 367607-th square number.

135134906449 is the 183804-th centered octagonal number.

It is an amenable number.

135134906449 is a deficient number, since it is larger than the sum of its proper divisors (6275504408).

135134906449 is an frugal number, since it uses more digits than its factorization.

135134906449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 49.

Multiplying 135134906449 by its sum of digits (49), we get a square (6621610416001 = 2573249²).

The spelling of 135134906449 in words is "one hundred thirty-five billion, one hundred thirty-four million, nine hundred six thousand, four hundred forty-nine".