137307765 has 16 divisors (see below), whose sum is σ = 251077248. Its totient is φ = 62769216.

The previous prime is 137307761. The next prime is 137307791. The reversal of 137307765 is 567703731.

137307765 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137307765 - 2² = 137307761 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137307761) 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, 653742 + ... + 653951.

It is an arithmetic number, because the mean of its divisors is an integer number (15692328).

Almost surely, 2^137307765 is an apocalyptic number.

137307765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137307765 is a deficient number, since it is larger than the sum of its proper divisors (113769483).

137307765 is a wasteful number, since it uses less digits than its factorization.

137307765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1307708.

The product of its (nonzero) digits is 92610, while the sum is 39.

The square root of 137307765 is about 11717.8396046370. The cubic root of 137307765 is about 515.8994117671.

The spelling of 137307765 in words is "one hundred thirty-seven million, three hundred seven thousand, seven hundred sixty-five".