137627057 has 2 divisors, whose sum is σ = 137627058. Its totient is φ = 137627056.

The previous prime is 137627027. The next prime is 137627099. The reversal of 137627057 is 750726731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 115433536 + 22193521 = 10744^2 + 4711^2 .

It is a cyclic number.

It is not a de Polignac number, because 137627057 - 2¹⁶ = 137561521 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137627057.

It is not a weakly prime, because it can be changed into another prime (137627027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68813528 + 68813529.

It is an arithmetic number, because the mean of its divisors is an integer number (68813529).

Almost surely, 2^137627057 is an apocalyptic number.

It is an amenable number.

137627057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137627057 is an equidigital number, since it uses as much as digits as its factorization.

137627057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61740, while the sum is 38.

The square root of 137627057 is about 11731.4558772558. The cubic root of 137627057 is about 516.2989886813.

The spelling of 137627057 in words is "one hundred thirty-seven million, six hundred twenty-seven thousand, fifty-seven".