137516 has 12 divisors (see below), whose sum is σ = 248640. Its totient is φ = 66480.

The previous prime is 137507. The next prime is 137519. The reversal of 137516 is 615731.

137516 = 51² + 52² + ... + 81².

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 137491 and 137500.

It is not an unprimeable number, because it can be changed into a prime (137519) by changing a digit.

137516 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 431 + ... + 678.

It is an arithmetic number, because the mean of its divisors is an integer number (20720).

2¹³⁷⁵¹⁶ is an apocalyptic number.

It is an amenable number.

137516 is a deficient number, since it is larger than the sum of its proper divisors (111124).

137516 is a wasteful number, since it uses less digits than its factorization.

137516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144 (or 1142 counting only the distinct ones).

The product of its digits is 630, while the sum is 23.

The square root of 137516 is about 370.8314981228. The cubic root of 137516 is about 51.6160076930.

The spelling of 137516 in words is "one hundred thirty-seven thousand, five hundred sixteen".