137508214005 has 64 divisors (see below), whose sum is σ = 249201792000. Its totient is φ = 71920892736.

The previous prime is 137508213971. The next prime is 137508214021. The reversal of 137508214005 is 500412805731.

137508214005 is a `hidden beast` number, since 1 + 3 + 7 + 508 + 2 + 140 + 0 + 5 = 666.

It is not a de Polignac number, because 137508214005 - 2⁸ = 137508213749 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3316734 + ... + 3357936.

It is an arithmetic number, because the mean of its divisors is an integer number (3893778000).

Almost surely, 2^137508214005 is an apocalyptic number.

137508214005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137508214005 is a deficient number, since it is larger than the sum of its proper divisors (111693577995).

137508214005 is a wasteful number, since it uses less digits than its factorization.

137508214005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41695 (or 41689 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 137508214005 its sum of digits (36), we get a square (137508214041 = 370821²).

The spelling of 137508214005 in words is "one hundred thirty-seven billion, five hundred eight million, two hundred fourteen thousand, five".