137943247680 has 504 divisors, whose sum is σ = 553249783008. Its totient is φ = 31454631936.

The previous prime is 137943247643. The next prime is 137943247691. The reversal of 137943247680 is 86742349731.

137943247680 is a `hidden beast` number, since 1 + 3 + 7 + 94 + 3 + 2 + 476 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 77191747 + ... + 77193533.

Almost surely, 2^137943247680 is an apocalyptic number.

137943247680 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 137943247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276624891504).

137943247680 is an abundant number, since it is smaller than the sum of its proper divisors (415306535328).

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

137943247680 is a wasteful number, since it uses less digits than its factorization.

137943247680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2371 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 137943247680 in words is "one hundred thirty-seven billion, nine hundred forty-three million, two hundred forty-seven thousand, six hundred eighty".