137735849205 has 12 divisors (see below), whose sum is σ = 238742138700. Its totient is φ = 73459119552.

The previous prime is 137735849191. The next prime is 137735849233. The reversal of 137735849205 is 502948537731.

137735849205 is a `hidden beast` number, since 1 + 37 + 7 + 3 + 584 + 9 + 20 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49309311249 + 88426537956 = 222057^2 + 297366^2 .

It is not a de Polignac number, because 137735849205 - 2⁸ = 137735848949 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1530398280 + ... + 1530398369.

It is an arithmetic number, because the mean of its divisors is an integer number (19895178225).

Almost surely, 2^137735849205 is an apocalyptic number.

137735849205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137735849205 is a deficient number, since it is larger than the sum of its proper divisors (101006289495).

137735849205 is a wasteful number, since it uses less digits than its factorization.

137735849205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060796660 (or 3060796657 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 137735849205 in words is "one hundred thirty-seven billion, seven hundred thirty-five million, eight hundred forty-nine thousand, two hundred five".