137513765 has 8 divisors (see below), whose sum is σ = 174723480. Its totient is φ = 103539712.

The previous prime is 137513759. The next prime is 137513767. The reversal of 137513765 is 567315731.

It can be written as a sum of positive squares in 4 ways, for example, as 10252804 + 127260961 = 3202^2 + 11281^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137513765 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137513767) 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 7 ways as a sum of consecutive naturals, for example, 808820 + ... + 808989.

It is an arithmetic number, because the mean of its divisors is an integer number (21840435).

Almost surely, 2^137513765 is an apocalyptic number.

It is an amenable number.

137513765 is a deficient number, since it is larger than the sum of its proper divisors (37209715).

137513765 is a wasteful number, since it uses less digits than its factorization.

137513765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617831.

The product of its digits is 66150, while the sum is 38.

The square root of 137513765 is about 11726.6263264419. The cubic root of 137513765 is about 516.1572805908.

The spelling of 137513765 in words is "one hundred thirty-seven million, five hundred thirteen thousand, seven hundred sixty-five".