137803957 has 2 divisors, whose sum is σ = 137803958. Its totient is φ = 137803956.

The previous prime is 137803933. The next prime is 137803997. The reversal of 137803957 is 759308731.

137803957 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93528241 + 44275716 = 9671^2 + 6654^2 .

It is an emirp because it is prime and its reverse (759308731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137803957 - 2¹⁹ = 137279669 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137803927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68901978 + 68901979.

It is an arithmetic number, because the mean of its divisors is an integer number (68901979).

Almost surely, 2^137803957 is an apocalyptic number.

It is an amenable number.

137803957 is a deficient number, since it is larger than the sum of its proper divisors (1).

137803957 is an equidigital number, since it uses as much as digits as its factorization.

137803957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 158760, while the sum is 43.

The square root of 137803957 is about 11738.9930147351. The cubic root of 137803957 is about 516.5201036012.

The spelling of 137803957 in words is "one hundred thirty-seven million, eight hundred three thousand, nine hundred fifty-seven".