137507513257 has 4 divisors (see below), whose sum is σ = 137553184656. Its totient is φ = 137461841860.

The previous prime is 137507513243. The next prime is 137507513263. The reversal of 137507513257 is 752315705731.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 137507513257 - 2¹¹ = 137507511209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137507513057) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22831183 + ... + 22837204.

It is an arithmetic number, because the mean of its divisors is an integer number (34388296164).

Almost surely, 2^137507513257 is an apocalyptic number.

It is an amenable number.

137507513257 is a deficient number, since it is larger than the sum of its proper divisors (45671399).

137507513257 is an equidigital number, since it uses as much as digits as its factorization.

137507513257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45671398.

The product of its (nonzero) digits is 771750, while the sum is 46.

The spelling of 137507513257 in words is "one hundred thirty-seven billion, five hundred seven million, five hundred thirteen thousand, two hundred fifty-seven".