137241765 has 72 divisors (see below), whose sum is σ = 258329448. Its totient is φ = 67368960.

The previous prime is 137241763. The next prime is 137241773. The reversal of 137241765 is 567142731.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 7144929 + 130096836 = 2673^2 + 11406^2 .

It is not a de Polignac number, because 137241765 - 2¹ = 137241763 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137241763) 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 71 ways as a sum of consecutive naturals, for example, 793219 + ... + 793391.

It is an arithmetic number, because the mean of its divisors is an integer number (3587909).

Almost surely, 2^137241765 is an apocalyptic number.

137241765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137241765 is a deficient number, since it is larger than the sum of its proper divisors (121087683).

137241765 is a wasteful number, since it uses less digits than its factorization.

137241765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 259 counting only the distinct ones).

The product of its digits is 35280, while the sum is 36.

The square root of 137241765 is about 11715.0230473525. The cubic root of 137241765 is about 515.8167390497.

The spelling of 137241765 in words is "one hundred thirty-seven million, two hundred forty-one thousand, seven hundred sixty-five".