137624709857 has 2 divisors, whose sum is σ = 137624709858. Its totient is φ = 137624709856.

The previous prime is 137624709847. The next prime is 137624709863. The reversal of 137624709857 is 758907426731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 130737203776 + 6887506081 = 361576^2 + 82991^2 .

It is a cyclic number.

It is not a de Polignac number, because 137624709857 - 2¹⁴ = 137624693473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137624709796 and 137624709805.

It is not a weakly prime, because it can be changed into another prime (137624709847) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68812354928 + 68812354929.

It is an arithmetic number, because the mean of its divisors is an integer number (68812354929).

It is a 1-persistent number, because it is pandigital, but 2⋅137624709857 = 275249419714 is not.

Almost surely, 2^137624709857 is an apocalyptic number.

It is an amenable number.

137624709857 is a deficient number, since it is larger than the sum of its proper divisors (1).

137624709857 is an equidigital number, since it uses as much as digits as its factorization.

137624709857 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 17781120, while the sum is 59.

The spelling of 137624709857 in words is "one hundred thirty-seven billion, six hundred twenty-four million, seven hundred nine thousand, eight hundred fifty-seven".