137688378186000 has 80 divisors (see below), whose sum is σ = 443907331291008. Its totient is φ = 36716900848000.

The previous prime is 137688378185947. The next prime is 137688378186031. The reversal of 137688378186000 is 681873886731.

It is a happy number.

137688378186000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 11474025516 + ... + 11474037515.

Almost surely, 2^{137688378186000} is an apocalyptic number.

137688378186000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137688378186000 is an abundant number, since it is smaller than the sum of its proper divisors (306218953105008).

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

137688378186000 is a wasteful number, since it uses less digits than its factorization.

137688378186000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22948063057 (or 22948063041 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 66.

The spelling of 137688378186000 in words is "one hundred thirty-seven trillion, six hundred eighty-eight billion, three hundred seventy-eight million, one hundred eighty-six thousand".