135153112336160 has 96 divisors (see below), whose sum is σ = 320298554524032. Its totient is φ = 53892123842560.

The previous prime is 135153112336147. The next prime is 135153112336163. The reversal of 135153112336160 is 61633211351531.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (135153112336163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 225834125 + ... + 226431795.

It is an arithmetic number, because the mean of its divisors is an integer number (3336443276292).

Almost surely, 2^{135153112336160} is an apocalyptic number.

135153112336160 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 135153112336160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160149277262016).

135153112336160 is an abundant number, since it is smaller than the sum of its proper divisors (185145442187872).

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

135153112336160 is a wasteful number, since it uses less digits than its factorization.

135153112336160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602106 (or 602098 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 41.

Adding to 135153112336160 its reverse (61633211351531), we get a palindrome (196786323687691).

The spelling of 135153112336160 in words is "one hundred thirty-five trillion, one hundred fifty-three billion, one hundred twelve million, three hundred thirty-six thousand, one hundred sixty".