137975621667 has 16 divisors (see below), whose sum is σ = 198161230848. Its totient is φ = 84889908000.

The previous prime is 137975621647. The next prime is 137975621699. The reversal of 137975621667 is 766126579731.

It is a happy number.

137975621667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137975621667 - 2¹⁴ = 137975605283 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137975621667.

It is not an unprimeable number, because it can be changed into a prime (137975621647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192709 + ... + 559542.

It is an arithmetic number, because the mean of its divisors is an integer number (12385076928).

Almost surely, 2^137975621667 is an apocalyptic number.

137975621667 is a deficient number, since it is larger than the sum of its proper divisors (60185609181).

137975621667 is a wasteful number, since it uses less digits than its factorization.

137975621667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756970.

The product of its digits is 20003760, while the sum is 60.

The spelling of 137975621667 in words is "one hundred thirty-seven billion, nine hundred seventy-five million, six hundred twenty-one thousand, six hundred sixty-seven".