137021943168000 has 3520 divisors, whose sum is σ = 610430912657280. Its totient is φ = 30173036544000.

The previous prime is 137021943167873. The next prime is 137021943168007. The reversal of 137021943168000 is 861349120731.

137021943168000 is a `hidden beast` number, since 1 + 3 + 70 + 2 + 194 + 316 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137021943168007) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 56225662782 + ... + 56225665218.

It is an arithmetic number, because the mean of its divisors is an integer number (173417872914).

Almost surely, 2^{137021943168000} is an apocalyptic number.

137021943168000 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 137021943168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305215456328640).

137021943168000 is an abundant number, since it is smaller than the sum of its proper divisors (473408969489280).

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

137021943168000 is a wasteful number, since it uses less digits than its factorization.

137021943168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2504 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 137021943168000 in words is "one hundred thirty-seven trillion, twenty-one billion, nine hundred forty-three million, one hundred sixty-eight thousand".