137957957 has 2 divisors, whose sum is σ = 137957958. Its totient is φ = 137957956.

The previous prime is 137957927. The next prime is 137957969. The reversal of 137957957 is 759759731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92179201 + 45778756 = 9601^2 + 6766^2 .

It is a cyclic number.

It is not a de Polignac number, because 137957957 - 2⁶ = 137957893 is a prime.

It is a super-2 number, since 2×137957957² = 38064795799227698, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 137957899 and 137957908.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137957927) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68978978 + 68978979.

It is an arithmetic number, because the mean of its divisors is an integer number (68978979).

Almost surely, 2^137957957 is an apocalyptic number.

It is an amenable number.

137957957 is a deficient number, since it is larger than the sum of its proper divisors (1).

137957957 is an equidigital number, since it uses as much as digits as its factorization.

137957957 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2083725, while the sum is 53.

The square root of 137957957 is about 11745.5505192392. The cubic root of 137957957 is about 516.7124408052.

The spelling of 137957957 in words is "one hundred thirty-seven million, nine hundred fifty-seven thousand, nine hundred fifty-seven".