136882451890080 has 288 divisors, whose sum is σ = 503055009475200. Its totient is φ = 33693338327040.

The previous prime is 136882451890061. The next prime is 136882451890111. The reversal of 136882451890080 is 80098154288631.

136882451890080 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 8 + 24 + 518 + 90 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312201125 + ... + 1312305435.

It is an arithmetic number, because the mean of its divisors is an integer number (1746718782900).

Almost surely, 2^{136882451890080} is an apocalyptic number.

136882451890080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136882451890080 is an abundant number, since it is smaller than the sum of its proper divisors (366172557585120).

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

136882451890080 is a wasteful number, since it uses less digits than its factorization.

136882451890080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174444 (or 174433 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 136882451890080 in words is "one hundred thirty-six trillion, eight hundred eighty-two billion, four hundred fifty-one million, eight hundred ninety thousand, eighty".