137283765 has 16 divisors (see below), whose sum is σ = 219811968. Its totient is φ = 73165376.

The previous prime is 137283763. The next prime is 137283787. The reversal of 137283765 is 567382731.

It is a cyclic number.

It is not a de Polignac number, because 137283765 - 2¹ = 137283763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137283761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27664 + ... + 32246.

It is an arithmetic number, because the mean of its divisors is an integer number (13738248).

Almost surely, 2^137283765 is an apocalyptic number.

137283765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137283765 is a deficient number, since it is larger than the sum of its proper divisors (82528203).

137283765 is a wasteful number, since it uses less digits than its factorization.

137283765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6588.

The product of its digits is 211680, while the sum is 42.

The square root of 137283765 is about 11716.8154803257. The cubic root of 137283765 is about 515.8693520266.

The spelling of 137283765 in words is "one hundred thirty-seven million, two hundred eighty-three thousand, seven hundred sixty-five".