136821197836008 has 1536 divisors, whose sum is σ = 482481719193600. Its totient is φ = 36189006336000.

The previous prime is 136821197835989. The next prime is 136821197836033. The reversal of 136821197836008 is 800638791128631.

136821197836008 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 2 + 1 + 19 + 7 + 8 + 3 + 600 + 8 = 666.

It is a super-2 number, since 2×136821197836008² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 383 ways as a sum of consecutive naturals, for example, 59982987828 + ... + 59982990108.

It is an arithmetic number, because the mean of its divisors is an integer number (314115702600).

Almost surely, 2^{136821197836008} is an apocalyptic number.

136821197836008 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 136821197836008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241240859596800).

136821197836008 is an abundant number, since it is smaller than the sum of its proper divisors (345660521357592).

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

136821197836008 is a wasteful number, since it uses less digits than its factorization.

136821197836008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451 (or 2422 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 136821197836008 in words is "one hundred thirty-six trillion, eight hundred twenty-one billion, one hundred ninety-seven million, eight hundred thirty-six thousand, eight".