137391 has 8 divisors (see below), whose sum is σ = 187824. Its totient is φ = 89280.

The previous prime is 137387. The next prime is 137393. The reversal of 137391 is 193731.

137391 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 137391 - 2² = 137387 is a prime.

137391 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137393) 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, 436 + ... + 681.

It is an arithmetic number, because the mean of its divisors is an integer number (23478).

2¹³⁷³⁹¹ is an apocalyptic number.

137391 is a deficient number, since it is larger than the sum of its proper divisors (50433).

137391 is a wasteful number, since it uses less digits than its factorization.

137391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161.

The product of its digits is 567, while the sum is 24.

The square root of 137391 is about 370.6629196453. The cubic root of 137391 is about 51.6003635573.

It can be divided in two parts, 137 and 391, that added together give a triangular number (528 = T₃₂).

The spelling of 137391 in words is "one hundred thirty-seven thousand, three hundred ninety-one".