137389 has 8 divisors (see below), whose sum is σ = 165440. Its totient is φ = 111456.

The previous prime is 137387. The next prime is 137393. The reversal of 137389 is 983731.

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 137389 - 2¹ = 137387 is a prime.

It is a Duffinian number.

137389 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 137389.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137383) 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, 384 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (20680).

2¹³⁷³⁸⁹ is an apocalyptic number.

137389 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137389 is a deficient number, since it is larger than the sum of its proper divisors (28051).

137389 is a wasteful number, since it uses less digits than its factorization.

137389 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1059.

The product of its digits is 4536, while the sum is 31.

The square root of 137389 is about 370.6602217665. The cubic root of 137389 is about 51.6001131740.

The spelling of 137389 in words is "one hundred thirty-seven thousand, three hundred eighty-nine".