137975 has 6 divisors (see below), whose sum is σ = 171120. Its totient is φ = 110360.

The previous prime is 137957. The next prime is 137983. The reversal of 137975 is 579731.

It is not a de Polignac number, because 137975 - 2⁶ = 137911 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2735 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (28520).

2¹³⁷⁹⁷⁵ is an apocalyptic number.

137975 is a deficient number, since it is larger than the sum of its proper divisors (33145).

137975 is an equidigital number, since it uses as much as digits as its factorization.

137975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5529 (or 5524 counting only the distinct ones).

The product of its digits is 6615, while the sum is 32.

The square root of 137975 is about 371.4498620272. The cubic root of 137975 is about 51.6733717740.

The spelling of 137975 in words is "one hundred thirty-seven thousand, nine hundred seventy-five".