137061088695168 has 384 divisors, whose sum is σ = 422838675705600. Its totient is φ = 39198003609600.

The previous prime is 137061088695121. The next prime is 137061088695197. The reversal of 137061088695168 is 861596880160731.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231885448 + ... + 232475768.

It is an arithmetic number, because the mean of its divisors is an integer number (1101142384650).

Almost surely, 2^{137061088695168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137061088695168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211419337852800).

137061088695168 is an abundant number, since it is smaller than the sum of its proper divisors (285777587010432).

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

137061088695168 is a wasteful number, since it uses less digits than its factorization.

137061088695168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590642 (or 590619 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 69.

The spelling of 137061088695168 in words is "one hundred thirty-seven trillion, sixty-one billion, eighty-eight million, six hundred ninety-five thousand, one hundred sixty-eight".