137705365 has 16 divisors (see below), whose sum is σ = 191952000. Its totient is φ = 92877120.

The previous prime is 137705363. The next prime is 137705387. The reversal of 137705365 is 563507731.

It is a happy number.

137705365 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 137705365 - 2¹ = 137705363 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137705363) 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, 30115 + ... + 34384.

It is an arithmetic number, because the mean of its divisors is an integer number (11997000).

Almost surely, 2^137705365 is an apocalyptic number.

It is an amenable number.

137705365 is a deficient number, since it is larger than the sum of its proper divisors (54246635).

137705365 is an equidigital number, since it uses as much as digits as its factorization.

137705365 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64572.

The product of its (nonzero) digits is 66150, while the sum is 37.

The square root of 137705365 is about 11734.7929253140. The cubic root of 137705365 is about 516.3968925780.

The spelling of 137705365 in words is "one hundred thirty-seven million, seven hundred five thousand, three hundred sixty-five".