137947757 has 2 divisors, whose sum is σ = 137947758. Its totient is φ = 137947756.

The previous prime is 137947753. The next prime is 137947759. The reversal of 137947757 is 757749731.

137947757 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131652676 + 6295081 = 11474^2 + 2509^2 .

It is an emirp because it is prime and its reverse (757749731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137947757 - 2² = 137947753 is a prime.

It is a super-2 number, since 2×137947757² = 38059167322662098, which contains 22 as substring.

Together with 137947759, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137947753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68973878 + 68973879.

It is an arithmetic number, because the mean of its divisors is an integer number (68973879).

Almost surely, 2^137947757 is an apocalyptic number.

It is an amenable number.

137947757 is a deficient number, since it is larger than the sum of its proper divisors (1).

137947757 is an equidigital number, since it uses as much as digits as its factorization.

137947757 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1296540, while the sum is 50.

The square root of 137947757 is about 11745.1163042347. The cubic root of 137947757 is about 516.6997060153.

The spelling of 137947757 in words is "one hundred thirty-seven million, nine hundred forty-seven thousand, seven hundred fifty-seven".