136400216964 has 96 divisors (see below), whose sum is σ = 352848545280. Its totient is φ = 40665177600.

The previous prime is 136400216963. The next prime is 136400216989. The reversal of 136400216964 is 469612004631.

It is a happy number.

136400216964 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (136400216963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2614567 + ... + 2666225.

It is an arithmetic number, because the mean of its divisors is an integer number (3675505680).

Almost surely, 2^136400216964 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 136400216964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176424272640).

136400216964 is an abundant number, since it is smaller than the sum of its proper divisors (216448328316).

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

136400216964 is a wasteful number, since it uses less digits than its factorization.

136400216964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52001 (or 51999 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 136400216964 in words is "one hundred thirty-six billion, four hundred million, two hundred sixteen thousand, nine hundred sixty-four".