137306365 has 16 divisors (see below), whose sum is σ = 199383552. Its totient is φ = 88614144.

The previous prime is 137306333. The next prime is 137306401. The reversal of 137306365 is 563603731.

137306365 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 137306365 - 2⁵ = 137306333 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137306365.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114789 + ... + 115978.

It is an arithmetic number, because the mean of its divisors is an integer number (12461472).

Almost surely, 2^137306365 is an apocalyptic number.

It is an amenable number.

137306365 is a deficient number, since it is larger than the sum of its proper divisors (62077187).

137306365 is a wasteful number, since it uses less digits than its factorization.

137306365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230796.

The product of its (nonzero) digits is 34020, while the sum is 34.

The square root of 137306365 is about 11717.7798665105. The cubic root of 137306365 is about 515.8976583784.

The spelling of 137306365 in words is "one hundred thirty-seven million, three hundred six thousand, three hundred sixty-five".