135461137 has 24 divisors (see below), whose sum is σ = 162518400. Its totient is φ = 112514976.

The previous prime is 135461129. The next prime is 135461147. The reversal of 135461137 is 731164531.

It is not a de Polignac number, because 135461137 - 2³ = 135461129 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135461099 and 135461108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135461147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503439 + ... + 503707.

It is an arithmetic number, because the mean of its divisors is an integer number (6771600).

Almost surely, 2^135461137 is an apocalyptic number.

It is an amenable number.

135461137 is a deficient number, since it is larger than the sum of its proper divisors (27057263).

135461137 is a wasteful number, since it uses less digits than its factorization.

135461137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 135461137 is about 11638.7772983248. Note that the first 3 decimals coincide. The cubic root of 135461137 is about 513.5762188522.

The spelling of 135461137 in words is "one hundred thirty-five million, four hundred sixty-one thousand, one hundred thirty-seven".