136389619836288 has 2048 divisors, whose sum is σ = 521935142400000. Its totient is φ = 34818643722240.

The previous prime is 136389619836229. The next prime is 136389619836311. The reversal of 136389619836288 is 882638916983631.

136389619836288 is a `hidden beast` number, since 1 + 3 + 6 + 3 + 8 + 96 + 1 + 98 + 362 + 88 = 666.

136389619836288 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 87823321720 + ... + 87823323272.

It is an arithmetic number, because the mean of its divisors is an integer number (254851143750).

Almost surely, 2^{136389619836288} is an apocalyptic number.

136389619836288 is a gapful number since it is divisible by the number (18) 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 136389619836288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260967571200000).

136389619836288 is an abundant number, since it is smaller than the sum of its proper divisors (385545522563712).

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

136389619836288 is a wasteful number, since it uses less digits than its factorization.

136389619836288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1758 counting only the distinct ones).

The product of its digits is 3869835264, while the sum is 81.

The spelling of 136389619836288 in words is "one hundred thirty-six trillion, three hundred eighty-nine billion, six hundred nineteen million, eight hundred thirty-six thousand, two hundred eighty-eight".