136371189359808 has 1120 divisors, whose sum is σ = 464512200768000. Its totient is φ = 39188221231104.

The previous prime is 136371189359759. The next prime is 136371189359947. The reversal of 136371189359808 is 808953981173631.

136371189359808 is a `hidden beast` number, since 1 + 36 + 371 + 18 + 93 + 59 + 80 + 8 = 666.

It is a super-2 number, since 2×136371189359808² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 159 ways as a sum of consecutive naturals, for example, 133828448323 + ... + 133828449341.

It is an arithmetic number, because the mean of its divisors is an integer number (414743036400).

Almost surely, 2^{136371189359808} is an apocalyptic number.

136371189359808 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 136371189359808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232256100384000).

136371189359808 is an abundant number, since it is smaller than the sum of its proper divisors (328141011408192).

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

136371189359808 is a wasteful number, since it uses less digits than its factorization.

136371189359808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1859 (or 1840 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 136371189359808 in words is "one hundred thirty-six trillion, three hundred seventy-one billion, one hundred eighty-nine million, three hundred fifty-nine thousand, eight hundred eight".