137438537 has 4 divisors (see below), whose sum is σ = 138441876. Its totient is φ = 136435200.

The previous prime is 137438513. The next prime is 137438563. The reversal of 137438537 is 735834731.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 735834731 = 5051 ⋅145681.

It can be written as a sum of positive squares in 2 ways, for example, as 96746896 + 40691641 = 9836^2 + 6379^2 .

It is a cyclic number.

It is not a de Polignac number, because 137438537 - 2¹⁰ = 137437513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 137438494 and 137438503.

It is not an unprimeable number, because it can be changed into a prime (137438597) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 501464 + ... + 501737.

It is an arithmetic number, because the mean of its divisors is an integer number (34610469).

Almost surely, 2^137438537 is an apocalyptic number.

It is an amenable number.

137438537 is a deficient number, since it is larger than the sum of its proper divisors (1003339).

137438537 is a wasteful number, since it uses less digits than its factorization.

137438537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003338.

The product of its digits is 211680, while the sum is 41.

The square root of 137438537 is about 11723.4183154914. The cubic root of 137438537 is about 516.0631407721.

The spelling of 137438537 in words is "one hundred thirty-seven million, four hundred thirty-eight thousand, five hundred thirty-seven".