137653905006 has 80 divisors (see below), whose sum is σ = 314016983280. Its totient is φ = 45057703680.

The previous prime is 137653904987. The next prime is 137653905013. The reversal of 137653905006 is 600509356731.

137653905006 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 53 + 90 + 500 + 6 = 666.

137653905006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 9330796 + ... + 9345536.

It is an arithmetic number, because the mean of its divisors is an integer number (3925212291).

Almost surely, 2^137653905006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137653905006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157008491640).

137653905006 is an abundant number, since it is smaller than the sum of its proper divisors (176363078274).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137653905006 is a wasteful number, since it uses less digits than its factorization.

137653905006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15791 (or 15782 counting only the distinct ones).

The product of its (nonzero) digits is 510300, while the sum is 45.

The spelling of 137653905006 in words is "one hundred thirty-seven billion, six hundred fifty-three million, nine hundred five thousand, six".