135680470016 has 264 divisors, whose sum is σ = 344212384320. Its totient is φ = 52976222208.

The previous prime is 135680470001. The next prime is 135680470019. The reversal of 135680470016 is 610074086531.

It is not an unprimeable number, because it can be changed into a prime (135680470019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51529436 + ... + 51532068.

Almost surely, 2^135680470016 is an apocalyptic number.

135680470016 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 135680470016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172106192160).

135680470016 is an abundant number, since it is smaller than the sum of its proper divisors (208531914304).

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

135680470016 is a wasteful number, since it uses less digits than its factorization.

135680470016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2759 (or 2734 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 135680470016 in words is "one hundred thirty-five billion, six hundred eighty million, four hundred seventy thousand, sixteen".