137253216805 has 8 divisors (see below), whose sum is σ = 170383303800. Its totient is φ = 106016277696.

The previous prime is 137253216799. The next prime is 137253216833. The reversal of 137253216805 is 508612352731.

It can be written as a sum of positive squares in 4 ways, for example, as 53994422689 + 83258794116 = 232367^2 + 288546^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137253216805 - 2³ = 137253216797 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 473286810 + ... + 473287099.

It is an arithmetic number, because the mean of its divisors is an integer number (21297912975).

Almost surely, 2^137253216805 is an apocalyptic number.

It is an amenable number.

137253216805 is a deficient number, since it is larger than the sum of its proper divisors (33130086995).

137253216805 is an equidigital number, since it uses as much as digits as its factorization.

137253216805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946573943.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 137253216805 in words is "one hundred thirty-seven billion, two hundred fifty-three million, two hundred sixteen thousand, eight hundred five".