137003057 has 2 divisors, whose sum is σ = 137003058. Its totient is φ = 137003056.

The previous prime is 137003033. The next prime is 137003071. The reversal of 137003057 is 750300731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129868816 + 7134241 = 11396^2 + 2671^2 .

It is a cyclic number.

It is not a de Polignac number, because 137003057 - 2⁶ = 137002993 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (137003857) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68501528 + 68501529.

It is an arithmetic number, because the mean of its divisors is an integer number (68501529).

Almost surely, 2^137003057 is an apocalyptic number.

It is an amenable number.

137003057 is a deficient number, since it is larger than the sum of its proper divisors (1).

137003057 is an equidigital number, since it uses as much as digits as its factorization.

137003057 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2205, while the sum is 26.

The square root of 137003057 is about 11704.8304985591. The cubic root of 137003057 is about 515.5175078872.

Adding to 137003057 its reverse (750300731), we get a palindrome (887303788).

The spelling of 137003057 in words is "one hundred thirty-seven million, three thousand, fifty-seven".