137005365 has 32 divisors (see below), whose sum is σ = 261421056. Its totient is φ = 59906880.

The previous prime is 137005357. The next prime is 137005369. The reversal of 137005365 is 563500731.

It is not a de Polignac number, because 137005365 - 2³ = 137005357 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137005369) 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, 25951 + ... + 30780.

It is an arithmetic number, because the mean of its divisors is an integer number (8169408).

Almost surely, 2^137005365 is an apocalyptic number.

137005365 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137005365 is a deficient number, since it is larger than the sum of its proper divisors (124415691).

137005365 is a wasteful number, since it uses less digits than its factorization.

137005365 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56769.

The product of its (nonzero) digits is 9450, while the sum is 30.

The square root of 137005365 is about 11704.9290899176. The cubic root of 137005365 is about 515.5204027319.

The spelling of 137005365 in words is "one hundred thirty-seven million, five thousand, three hundred sixty-five".