137884551168000 has 2400 divisors, whose sum is σ = 577291166000640. Its totient is φ = 29051663155200.

The previous prime is 137884551167941. The next prime is 137884551168031. The reversal of 137884551168000 is 861155488731.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 191772671641 + ... + 191772672359.

Almost surely, 2^{137884551168000} is an apocalyptic number.

137884551168000 is a gapful number since it is divisible by the number (10) 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 137884551168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288645583000320).

137884551168000 is an abundant number, since it is smaller than the sum of its proper divisors (439406614832640).

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

137884551168000 is an frugal number, since it uses more digits than its factorization.

137884551168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 137884551168000 in words is "one hundred thirty-seven trillion, eight hundred eighty-four billion, five hundred fifty-one million, one hundred sixty-eight thousand".