137653 has 2 divisors, whose sum is σ = 137654. Its totient is φ = 137652.

The previous prime is 137639. The next prime is 137659. The reversal of 137653 is 356731.

It is a happy number.

137653 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 114244 + 23409 = 338^2 + 153^2 .

It is an emirp because it is prime and its reverse (356731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137653 - 2¹³ = 129461 is a prime.

It is a plaindrome in base 15.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137659) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68826 + 68827.

It is an arithmetic number, because the mean of its divisors is an integer number (68827).

2¹³⁷⁶⁵³ is an apocalyptic number.

It is an amenable number.

137653 is a deficient number, since it is larger than the sum of its proper divisors (1).

137653 is an equidigital number, since it uses as much as digits as its factorization.

137653 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1890, while the sum is 25.

The square root of 137653 is about 371.0161721543. The cubic root of 137653 is about 51.6331427804.

The spelling of 137653 in words is "one hundred thirty-seven thousand, six hundred fifty-three".