137957 has 2 divisors, whose sum is σ = 137958. Its totient is φ = 137956.

The previous prime is 137947. The next prime is 137983. The reversal of 137957 is 759731.

137957 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., 73441 + 64516 = 271^2 + 254^2 .

It is a cyclic number.

It is not a de Polignac number, because 137957 - 2⁴ = 137941 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68978 + 68979.

It is an arithmetic number, because the mean of its divisors is an integer number (68979).

2¹³⁷⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

137957 is a deficient number, since it is larger than the sum of its proper divisors (1).

137957 is an equidigital number, since it uses as much as digits as its factorization.

137957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 6615, while the sum is 32.

The square root of 137957 is about 371.4256318565. The cubic root of 137957 is about 51.6711246009.

The spelling of 137957 in words is "one hundred thirty-seven thousand, nine hundred fifty-seven".