135153510135105 has 32 divisors (see below), whose sum is σ = 269604924115968. Its totient is φ = 56167692523200.

The previous prime is 135153510135101. The next prime is 135153510135121. The reversal of 135153510135105 is 501531015351531.

It is not a de Polignac number, because 135153510135105 - 2² = 135153510135101 is a prime.

It is a super-3 number, since 3×135153510135105³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (135153510135101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58508011891 + ... + 58508014200.

It is an arithmetic number, because the mean of its divisors is an integer number (8425153878624).

Almost surely, 2^{135153510135105} is an apocalyptic number.

135153510135105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135153510135105 is a deficient number, since it is larger than the sum of its proper divisors (134451413980863).

135153510135105 is a wasteful number, since it uses less digits than its factorization.

135153510135105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117016026117.

The product of its (nonzero) digits is 84375, while the sum is 39.

Adding to 135153510135105 its reverse (501531015351531), we get a palindrome (636684525486636).

The spelling of 135153510135105 in words is "one hundred thirty-five trillion, one hundred fifty-three billion, five hundred ten million, one hundred thirty-five thousand, one hundred five".