137645 has 4 divisors (see below), whose sum is σ = 165180. Its totient is φ = 110112.

The previous prime is 137639. The next prime is 137653. The reversal of 137645 is 546731.

137645 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 48841 + 88804 = 221^2 + 298^2 .

It is a cyclic number.

It is not a de Polignac number, because 137645 - 2¹⁰ = 136621 is a prime.

It is a super-3 number, since 3×137645³ = 7823526808833375, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13760 + ... + 13769.

It is an arithmetic number, because the mean of its divisors is an integer number (41295).

2¹³⁷⁶⁴⁵ is an apocalyptic number.

It is an amenable number.

137645 is a deficient number, since it is larger than the sum of its proper divisors (27535).

137645 is an equidigital number, since it uses as much as digits as its factorization.

137645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27534.

The product of its digits is 2520, while the sum is 26.

The square root of 137645 is about 371.0053907964. The cubic root of 137645 is about 51.6321425040.

The spelling of 137645 in words is "one hundred thirty-seven thousand, six hundred forty-five".