135737109 has 24 divisors (see below), whose sum is σ = 200356832. Its totient is φ = 88529760.

The previous prime is 135737087. The next prime is 135737113. The reversal of 135737109 is 901737531.

135737109 is a `hidden beast` number, since 13 + 573 + 71 + 0 + 9 = 666.

It is not a de Polignac number, because 135737109 - 2⁷ = 135736981 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135737309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97599 + ... + 98979.

Almost surely, 2^135737109 is an apocalyptic number.

It is an amenable number.

135737109 is a deficient number, since it is larger than the sum of its proper divisors (64619723).

135737109 is a wasteful number, since it uses less digits than its factorization.

135737109 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617 (or 1614 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 135737109 is about 11650.6269788368. The cubic root of 135737109 is about 513.9247481268.

The spelling of 135737109 in words is "one hundred thirty-five million, seven hundred thirty-seven thousand, one hundred nine".