135112164106120 has 16 divisors (see below), whose sum is σ = 304002369238860. Its totient is φ = 54044865642432.

The previous prime is 135112164106103. The next prime is 135112164106123. The reversal of 135112164106120 is 21601461211531.

It can be written as a sum of positive squares in 2 ways, for example, as 134541858211524 + 570305894596 = 11599218^2 + 755186^2 .

It is not an unprimeable number, because it can be changed into a prime (135112164106123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1688902051287 + ... + 1688902051366.

Almost surely, 2^{135112164106120} is an apocalyptic number.

135112164106120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135112164106120 is an abundant number, since it is smaller than the sum of its proper divisors (168890205132740).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135112164106120 is a wasteful number, since it uses less digits than its factorization.

135112164106120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3377804102664 (or 3377804102660 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The spelling of 135112164106120 in words is "one hundred thirty-five trillion, one hundred twelve billion, one hundred sixty-four million, one hundred six thousand, one hundred twenty".