135637 has 2 divisors, whose sum is σ = 135638. Its totient is φ = 135636.

The previous prime is 135623. The next prime is 135647. The reversal of 135637 is 736531.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 133956 + 1681 = 366^2 + 41^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-135637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (135607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67818 + 67819.

It is an arithmetic number, because the mean of its divisors is an integer number (67819).

2¹³⁵⁶³⁷ is an apocalyptic number.

It is an amenable number.

135637 is a deficient number, since it is larger than the sum of its proper divisors (1).

135637 is an equidigital number, since it uses as much as digits as its factorization.

135637 is an evil number, because the sum of its binary digits is even.

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

The square root of 135637 is about 368.2892884676. The cubic root of 135637 is about 51.3798373582.

The spelling of 135637 in words is "one hundred thirty-five thousand, six hundred thirty-seven".