137959 has 8 divisors (see below), whose sum is σ = 149040. Its totient is φ = 127296.

The previous prime is 137957. The next prime is 137983. The reversal of 137959 is 959731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137959 - 2¹ = 137957 is a prime.

It is a Duffinian number.

137959 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939 + ... + 1075.

It is an arithmetic number, because the mean of its divisors is an integer number (18630).

2¹³⁷⁹⁵⁹ is an apocalyptic number.

137959 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

137959 is a deficient number, since it is larger than the sum of its proper divisors (11081).

137959 is a wasteful number, since it uses less digits than its factorization.

137959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209.

The product of its digits is 8505, while the sum is 34.

The square root of 137959 is about 371.4283241757. The cubic root of 137959 is about 51.6713742965.

The spelling of 137959 in words is "one hundred thirty-seven thousand, nine hundred fifty-nine".