137752566007 has 64 divisors (see below), whose sum is σ = 177545779200. Its totient is φ = 104217684480.

The previous prime is 137752565987. The next prime is 137752566079. The reversal of 137752566007 is 700665257731.

It is not a de Polignac number, because 137752566007 - 2¹¹ = 137752563959 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 (137752566097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12464158 + ... + 12475204.

It is an arithmetic number, because the mean of its divisors is an integer number (2774152800).

Almost surely, 2^137752566007 is an apocalyptic number.

137752566007 is a deficient number, since it is larger than the sum of its proper divisors (39793213193).

137752566007 is a wasteful number, since it uses less digits than its factorization.

137752566007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11216.

The product of its (nonzero) digits is 1852200, while the sum is 49.

The spelling of 137752566007 in words is "one hundred thirty-seven billion, seven hundred fifty-two million, five hundred sixty-six thousand, seven".