135387163296 has 432 divisors, whose sum is σ = 486250128000. Its totient is φ = 34976240640.

The previous prime is 135387163279. The next prime is 135387163333. The reversal of 135387163296 is 692361783531.

135387163296 is a `hidden beast` number, since 1 + 3 + 538 + 7 + 16 + 3 + 2 + 96 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48541870 + ... + 48544658.

It is an arithmetic number, because the mean of its divisors is an integer number (1125579000).

Almost surely, 2^135387163296 is an apocalyptic number.

135387163296 is a gapful number since it is divisible by the number (16) 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 135387163296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243125064000).

135387163296 is an abundant number, since it is smaller than the sum of its proper divisors (350862964704).

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

135387163296 is a wasteful number, since it uses less digits than its factorization.

135387163296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3011 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The spelling of 135387163296 in words is "one hundred thirty-five billion, three hundred eighty-seven million, one hundred sixty-three thousand, two hundred ninety-six".