136201449384 has 864 divisors, whose sum is σ = 534058855200. Its totient is φ = 30908666880.

The previous prime is 136201449379. The next prime is 136201449409. The reversal of 136201449384 is 483944102631.

136201449384 is a `hidden beast` number, since 1 + 3 + 620 + 14 + 4 + 9 + 3 + 8 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 124611942 + ... + 124613034.

It is an arithmetic number, because the mean of its divisors is an integer number (618123675).

Almost surely, 2^136201449384 is an apocalyptic number.

136201449384 is a gapful number since it is divisible by the number (14) 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 136201449384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267029427600).

136201449384 is an abundant number, since it is smaller than the sum of its proper divisors (397857405816).

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

136201449384 is a wasteful number, since it uses less digits than its factorization.

136201449384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

It can be divided in two parts, 136201 and 449384, that added together give a palindrome (585585).

The spelling of 136201449384 in words is "one hundred thirty-six billion, two hundred one million, four hundred forty-nine thousand, three hundred eighty-four".