135506121 has 12 divisors (see below), whose sum is σ = 181645776. Its totient is φ = 89854120.

The previous prime is 135506101. The next prime is 135506131. The reversal of 135506121 is 121605531.

It is not a de Polignac number, because 135506121 - 2⁵ = 135506089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135506091 and 135506100.

It is not an unprimeable number, because it can be changed into a prime (135506101) 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 11 ways as a sum of consecutive naturals, for example, 289930 + ... + 290396.

It is an arithmetic number, because the mean of its divisors is an integer number (15137148).

Almost surely, 2^135506121 is an apocalyptic number.

It is an amenable number.

135506121 is a deficient number, since it is larger than the sum of its proper divisors (46139655).

135506121 is an frugal number, since it uses more digits than its factorization.

135506121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 135506121 is about 11640.7096433164. The cubic root of 135506121 is about 513.6330621070.

The spelling of 135506121 in words is "one hundred thirty-five million, five hundred six thousand, one hundred twenty-one".