137021413005 has 12 divisors (see below), whose sum is σ = 237503782620. Its totient is φ = 73078086912.

The previous prime is 137021412977. The next prime is 137021413007. The reversal of 137021413005 is 500314120731.

It can be written as a sum of positive squares in 2 ways, for example, as 69646904649 + 67374508356 = 263907^2 + 259566^2 .

It is not a de Polignac number, because 137021413005 - 2¹⁰ = 137021411981 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137021413005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137021413007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1522460100 + ... + 1522460189.

It is an arithmetic number, because the mean of its divisors is an integer number (19791981885).

Almost surely, 2^137021413005 is an apocalyptic number.

137021413005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137021413005 is a deficient number, since it is larger than the sum of its proper divisors (100482369615).

137021413005 is a wasteful number, since it uses less digits than its factorization.

137021413005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3044920300 (or 3044920297 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 137021413005 its reverse (500314120731), we get a palindrome (637335533736).

The spelling of 137021413005 in words is "one hundred thirty-seven billion, twenty-one million, four hundred thirteen thousand, five".