137538065 has 16 divisors (see below), whose sum is σ = 193723392. Its totient is φ = 91761984.

The previous prime is 137538061. The next prime is 137538073. The reversal of 137538065 is 560835731.

It is a cyclic number.

It is not a de Polignac number, because 137538065 - 2² = 137538061 is a prime.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137538061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51809 + ... + 54398.

It is an arithmetic number, because the mean of its divisors is an integer number (12107712).

Almost surely, 2^137538065 is an apocalyptic number.

It is an amenable number.

137538065 is a deficient number, since it is larger than the sum of its proper divisors (56185327).

137538065 is a wasteful number, since it uses less digits than its factorization.

137538065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106256.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 137538065 is about 11727.6623842947. The cubic root of 137538065 is about 516.1876821126.

The spelling of 137538065 in words is "one hundred thirty-seven million, five hundred thirty-eight thousand, sixty-five".