137512 has 8 divisors (see below), whose sum is σ = 257850. Its totient is φ = 68752.

The previous prime is 137507. The next prime is 137519. The reversal of 137512 is 215731.

It can be written as a sum of positive squares in only one way, i.e., 86436 + 51076 = 294^2 + 226^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a self number, because there is not a number n which added to its sum of digits gives 137512.

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

137512 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 8587 + ... + 8602.

2¹³⁷⁵¹² is an apocalyptic number.

It is an amenable number.

137512 is a deficient number, since it is larger than the sum of its proper divisors (120338).

137512 is a wasteful number, since it uses less digits than its factorization.

137512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17195 (or 17191 counting only the distinct ones).

The product of its digits is 210, while the sum is 19.

The square root of 137512 is about 370.8261047985. The cubic root of 137512 is about 51.6155072275.

The spelling of 137512 in words is "one hundred thirty-seven thousand, five hundred twelve".