137635806049 has 9 divisors (see below), whose sum is σ = 160109979057. Its totient is φ = 117971322084.

The previous prime is 137635806037. The next prime is 137635806083. The reversal of 137635806049 is 940608536731.

It is a happy number.

The square root of 137635806049 is 370993.

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

137635806049 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137635806049 - 2⁷ = 137635805921 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137635805987 and 137635806005.

It is not an unprimeable number, because it can be changed into a prime (137635006049) 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, 2570452 + ... + 2623450.

It is an arithmetic number, because the mean of its divisors is an integer number (17789997673).

Almost surely, 2^137635806049 is an apocalyptic number.

137635806049 is the 370993-rd square number.

137635806049 is the 185497-th centered octagonal number.

It is an amenable number.

137635806049 is a deficient number, since it is larger than the sum of its proper divisors (22474173008).

137635806049 is an frugal number, since it uses more digits than its factorization.

137635806049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106012 (or 53006 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 137635806049 in words is "one hundred thirty-seven billion, six hundred thirty-five million, eight hundred six thousand, forty-nine".