137438205 has 8 divisors (see below), whose sum is σ = 219901152. Its totient is φ = 73300368.

The previous prime is 137438201. The next prime is 137438207. The reversal of 137438205 is 502834731.

137438205 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 137438205 - 2² = 137438201 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137438201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4581259 + ... + 4581288.

It is an arithmetic number, because the mean of its divisors is an integer number (27487644).

Almost surely, 2^137438205 is an apocalyptic number.

137438205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137438205 is a deficient number, since it is larger than the sum of its proper divisors (82462947).

137438205 is an equidigital number, since it uses as much as digits as its factorization.

137438205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9162555.

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 137438205 is about 11723.4041557902. The cubic root of 137438205 is about 516.0627252334.

The spelling of 137438205 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, two hundred five".