137443082193 has 6 divisors (see below), whose sum is σ = 198528896514. Its totient is φ = 91628721456.

The previous prime is 137443082173. The next prime is 137443082237. The reversal of 137443082193 is 391280344731.

137443082193 is a `hidden beast` number, since 13 + 7 + 443 + 0 + 8 + 2 + 193 = 666.

It can be written as a sum of positive squares in only one way, i.e., 133657510464 + 3785571729 = 365592^2 + 61527^2 .

It is not a de Polignac number, because 137443082193 - 2¹⁸ = 137442820049 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137443082173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7635726780 + ... + 7635726797.

It is an arithmetic number, because the mean of its divisors is an integer number (33088149419).

Almost surely, 2^137443082193 is an apocalyptic number.

It is an amenable number.

137443082193 is a deficient number, since it is larger than the sum of its proper divisors (61085814321).

137443082193 is a wasteful number, since it uses less digits than its factorization.

137443082193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15271453583 (or 15271453580 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 137443082193 in words is "one hundred thirty-seven billion, four hundred forty-three million, eighty-two thousand, one hundred ninety-three".