137512765 has 24 divisors (see below), whose sum is σ = 180445320. Its totient is φ = 100548864.

The previous prime is 137512649. The next prime is 137512783. The reversal of 137512765 is 567215731.

It can be written as a sum of positive squares in 12 ways, for example, as 36650916 + 100861849 = 6054^2 + 10043^2 .

It is not a de Polignac number, because 137512765 - 2¹⁵ = 137479997 is a prime.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 91359 + ... + 92851.

It is an arithmetic number, because the mean of its divisors is an integer number (7518555).

Almost surely, 2^137512765 is an apocalyptic number.

It is an amenable number.

137512765 is a deficient number, since it is larger than the sum of its proper divisors (42932555).

137512765 is a wasteful number, since it uses less digits than its factorization.

137512765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1633 (or 1620 counting only the distinct ones).

The product of its digits is 44100, while the sum is 37.

The square root of 137512765 is about 11726.5836883553. The cubic root of 137512765 is about 516.1560294226.

The spelling of 137512765 in words is "one hundred thirty-seven million, five hundred twelve thousand, seven hundred sixty-five".