137909205 has 48 divisors (see below), whose sum is σ = 274510080. Its totient is φ = 62740224.

The previous prime is 137909203. The next prime is 137909207. The reversal of 137909205 is 502909731.

It is an interprime number because it is at equal distance from previous prime (137909203) and next prime (137909207).

It is not a de Polignac number, because 137909205 - 2¹ = 137909203 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137909205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137909203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 72456 + ... + 74334.

It is an arithmetic number, because the mean of its divisors is an integer number (5718960).

Almost surely, 2^137909205 is an apocalyptic number.

137909205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137909205 is a deficient number, since it is larger than the sum of its proper divisors (136600875).

137909205 is a wasteful number, since it uses less digits than its factorization.

137909205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2130 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 137909205 is about 11743.4749967801. The cubic root of 137909205 is about 516.6515678326.

The spelling of 137909205 in words is "one hundred thirty-seven million, nine hundred nine thousand, two hundred five".