137845 has 8 divisors (see below), whose sum is σ = 174240. Its totient is φ = 104400.

The previous prime is 137831. The next prime is 137849. The reversal of 137845 is 548731.

137845 = 76² + 77² + ... + 94².

137845 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 a de Polignac number, because none of the positive numbers 2^k-137845 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137849) 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, 631 + ... + 820.

It is an arithmetic number, because the mean of its divisors is an integer number (21780).

2¹³⁷⁸⁴⁵ is an apocalyptic number.

It is an amenable number.

137845 is a deficient number, since it is larger than the sum of its proper divisors (36395).

137845 is a wasteful number, since it uses less digits than its factorization.

137845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475.

The product of its digits is 3360, while the sum is 28.

The square root of 137845 is about 371.2748308194. The cubic root of 137845 is about 51.6571377964.

The spelling of 137845 in words is "one hundred thirty-seven thousand, eight hundred forty-five".