135116478216 has 128 divisors (see below), whose sum is σ = 390109680000. Its totient is φ = 43279246080.

The previous prime is 135116478173. The next prime is 135116478241. The reversal of 135116478216 is 612874611531.

135116478216 is a `hidden beast` number, since 1 + 3 + 511 + 6 + 47 + 82 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1270590 + ... + 1372818.

It is an arithmetic number, because the mean of its divisors is an integer number (3047731875).

Almost surely, 2^135116478216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135116478216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195054840000).

135116478216 is an abundant number, since it is smaller than the sum of its proper divisors (254993201784).

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

135116478216 is a wasteful number, since it uses less digits than its factorization.

135116478216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102484 (or 102474 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 135116478216 in words is "one hundred thirty-five billion, one hundred sixteen million, four hundred seventy-eight thousand, two hundred sixteen".