137638257007 has 8 divisors (see below), whose sum is σ = 137866033152. Its totient is φ = 137410671000.

The previous prime is 137638256957. The next prime is 137638257059. The reversal of 137638257007 is 700752836731.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 137638257007 - 2¹⁵ = 137638224239 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137638258007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1439628 + ... + 1532254.

It is an arithmetic number, because the mean of its divisors is an integer number (17233254144).

Almost surely, 2^137638257007 is an apocalyptic number.

137638257007 is a deficient number, since it is larger than the sum of its proper divisors (227776145).

137638257007 is a wasteful number, since it uses less digits than its factorization.

137638257007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95069.

The product of its (nonzero) digits is 1481760, while the sum is 49.

The spelling of 137638257007 in words is "one hundred thirty-seven billion, six hundred thirty-eight million, two hundred fifty-seven thousand, seven".