137345 has 8 divisors (see below), whose sum is σ = 177576. Its totient is φ = 101376.

The previous prime is 137341. The next prime is 137353. The reversal of 137345 is 543731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8464 + 128881 = 92^2 + 359^2 .

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 137345 - 2² = 137341 is a prime.

It is a d-powerful number, because it can be written as 1 + 3 + 3⁹ + 7⁶ + 4 + 5 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137345.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 992 + ... + 1121.

It is an arithmetic number, because the mean of its divisors is an integer number (22197).

It is the magic constant of a 65 × 65 magic square.

2¹³⁷³⁴⁵ is an apocalyptic number.

It is an amenable number.

137345 is a deficient number, since it is larger than the sum of its proper divisors (40231).

137345 is a wasteful number, since it uses less digits than its factorization.

137345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131.

The product of its digits is 1260, while the sum is 23.

The square root of 137345 is about 370.6008634636. The cubic root of 137345 is about 51.5946041270.

The spelling of 137345 in words is "one hundred thirty-seven thousand, three hundred forty-five".