137973 has 16 divisors (see below), whose sum is σ = 207936. Its totient is φ = 80640.

The previous prime is 137957. The next prime is 137983. The reversal of 137973 is 379731.

It is not a de Polignac number, because 137973 - 2⁴ = 137957 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137933) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1165 + ... + 1277.

It is an arithmetic number, because the mean of its divisors is an integer number (12996).

2¹³⁷⁹⁷³ is an apocalyptic number.

It is an amenable number.

137973 is a deficient number, since it is larger than the sum of its proper divisors (69963).

137973 is a wasteful number, since it uses less digits than its factorization.

137973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164.

The product of its digits is 3969, while the sum is 30.

The square root of 137973 is about 371.4471698640. The cubic root of 137973 is about 51.6731220978.

The spelling of 137973 in words is "one hundred thirty-seven thousand, nine hundred seventy-three".