13735122745 has 8 divisors (see below), whose sum is σ = 16490282760. Its totient is φ = 10982674560.

The previous prime is 13735122689. The next prime is 13735122757. The reversal of 13735122745 is 54722153731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 9529859641 + 4205263104 = 97621^2 + 64848^2 .

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

It is not a de Polignac number, because 13735122745 - 2⁷ = 13735122617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13735122698 and 13735122707.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 666796 + ... + 687085.

It is an arithmetic number, because the mean of its divisors is an integer number (2061285345).

Almost surely, 2^13735122745 is an apocalyptic number.

It is an amenable number.

13735122745 is a deficient number, since it is larger than the sum of its proper divisors (2755160015).

13735122745 is a wasteful number, since it uses less digits than its factorization.

13735122745 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1355915.

The product of its digits is 176400, while the sum is 40.

The spelling of 13735122745 in words is "thirteen billion, seven hundred thirty-five million, one hundred twenty-two thousand, seven hundred forty-five".