135135152241200 has 120 divisors (see below), whose sum is σ = 325138058359200. Its totient is φ = 53974858516480.

The previous prime is 135135152241143. The next prime is 135135152241217. The reversal of 135135152241200 is 2142251531531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1966168436 + ... + 1966237164.

It is an arithmetic number, because the mean of its divisors is an integer number (2709483819660).

Almost surely, 2^{135135152241200} is an apocalyptic number.

135135152241200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135135152241200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162569029179600).

135135152241200 is an abundant number, since it is smaller than the sum of its proper divisors (190002906118000).

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

135135152241200 is a wasteful number, since it uses less digits than its factorization.

135135152241200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75879 (or 75868 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The spelling of 135135152241200 in words is "one hundred thirty-five trillion, one hundred thirty-five billion, one hundred fifty-two million, two hundred forty-one thousand, two hundred".