137968 has 10 divisors (see below), whose sum is σ = 267344. Its totient is φ = 68976.

The previous prime is 137957. The next prime is 137983. The reversal of 137968 is 869731.

It is a congruent number.

It is an unprimeable number.

137968 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, 4296 + ... + 4327.

2¹³⁷⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

137968 is a deficient number, since it is larger than the sum of its proper divisors (129376).

137968 is an equidigital number, since it uses as much as digits as its factorization.

137968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8631 (or 8625 counting only the distinct ones).

The product of its digits is 9072, while the sum is 34.

The square root of 137968 is about 371.4404393708. The cubic root of 137968 is about 51.6724978966.

The spelling of 137968 in words is "one hundred thirty-seven thousand, nine hundred sixty-eight".