21003136137 has 24 divisors (see below), whose sum is σ = 31578543360. Its totient is φ = 13949994960.

The previous prime is 21003136087. The next prime is 21003136177. The reversal of 21003136137 is 73163130012.

21003136137 is a `hidden beast` number, since 2 + 10 + 0 + 31 + 3 + 613 + 7 = 666.

It is not a de Polignac number, because 21003136137 - 2¹⁰ = 21003135113 is a prime.

It is a super-2 number, since 2×21003136137² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 21003136137.

It is not an unprimeable number, because it can be changed into a prime (21003136177) 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 23 ways as a sum of consecutive naturals, for example, 95289 + ... + 226022.

It is an arithmetic number, because the mean of its divisors is an integer number (1315772640).

Almost surely, 2^21003136137 is an apocalyptic number.

21003136137 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

21003136137 is a deficient number, since it is larger than the sum of its proper divisors (10575407223).

21003136137 is an equidigital number, since it uses as much as digits as its factorization.

21003136137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321595 (or 321583 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

Adding to 21003136137 its reverse (73163130012), we get a palindrome (94166266149).

The spelling of 21003136137 in words is "twenty-one billion, three million, one hundred thirty-six thousand, one hundred thirty-seven".