137012 has 6 divisors (see below), whose sum is σ = 239778. Its totient is φ = 68504.

The previous prime is 136999. The next prime is 137029. The reversal of 137012 is 210731.

It can be written as a sum of positive squares in only one way, i.e., 98596 + 38416 = 314^2 + 196^2 .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137012.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17123 + ... + 17130.

It is an arithmetic number, because the mean of its divisors is an integer number (39963).

2¹³⁷⁰¹² is an apocalyptic number.

It is an amenable number.

137012 is a deficient number, since it is larger than the sum of its proper divisors (102766).

137012 is a wasteful number, since it uses less digits than its factorization.

137012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34257 (or 34255 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 137012 is about 370.1513204083. The cubic root of 137012 is about 51.5528724602.

Adding to 137012 its sum of digits (14), we get a triangular number (137026 = T₅₂₃).

Adding to 137012 its reverse (210731), we get a palindrome (347743).

The spelling of 137012 in words is "one hundred thirty-seven thousand, twelve".