137905065 has 32 divisors (see below), whose sum is σ = 245731200. Its totient is φ = 73379520.

The previous prime is 137905049. The next prime is 137905069. The reversal of 137905065 is 560509731.

It is a happy number.

It is not a de Polignac number, because 137905065 - 2⁴ = 137905049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137905069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76191 + ... + 77979.

It is an arithmetic number, because the mean of its divisors is an integer number (7679100).

Almost surely, 2^137905065 is an apocalyptic number.

137905065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137905065 is a deficient number, since it is larger than the sum of its proper divisors (107826135).

137905065 is a wasteful number, since it uses less digits than its factorization.

137905065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2374 (or 2368 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 137905065 is about 11743.2987273594. The cubic root of 137905065 is about 516.6463978637.

The spelling of 137905065 in words is "one hundred thirty-seven million, nine hundred five thousand, sixty-five".