136438081920 has 768 divisors, whose sum is σ = 569904192000. Its totient is φ = 29382082560.

The previous prime is 136438081889. The next prime is 136438082041. The reversal of 136438081920 is 29180834631.

136438081920 is a `hidden beast` number, since 136 + 438 + 0 + 81 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 184624911 + ... + 184625649.

It is an arithmetic number, because the mean of its divisors is an integer number (742062750).

Almost surely, 2^136438081920 is an apocalyptic number.

136438081920 is a gapful number since it is divisible by the number (10) 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 136438081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284952096000).

136438081920 is an abundant number, since it is smaller than the sum of its proper divisors (433466110080).

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

136438081920 is a wasteful number, since it uses less digits than its factorization.

136438081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1031 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 136438081920 in words is "one hundred thirty-six billion, four hundred thirty-eight million, eighty-one thousand, nine hundred twenty".