137737513 has 8 divisors (see below), whose sum is σ = 141238728. Its totient is φ = 134269824.

The previous prime is 137737499. The next prime is 137737529. The reversal of 137737513 is 315737731.

It can be written as a sum of positive squares in 4 ways, for example, as 56070144 + 81667369 = 7488^2 + 9037^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 137737513 - 2⁹ = 137737001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137737543) 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 7 ways as a sum of consecutive naturals, for example, 45 + ... + 16597.

It is an arithmetic number, because the mean of its divisors is an integer number (17654841).

Almost surely, 2^137737513 is an apocalyptic number.

It is an amenable number.

137737513 is a deficient number, since it is larger than the sum of its proper divisors (3501215).

137737513 is a wasteful number, since it uses less digits than its factorization.

137737513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16763.

The product of its digits is 46305, while the sum is 37.

The square root of 137737513 is about 11736.1626181644. The cubic root of 137737513 is about 516.4370745893.

The spelling of 137737513 in words is "one hundred thirty-seven million, seven hundred thirty-seven thousand, five hundred thirteen".