13620609135 has 192 divisors, whose sum is σ = 29831155200. Its totient is φ = 5862979584.

The previous prime is 13620609109. The next prime is 13620609161. The reversal of 13620609135 is 53190602631.

13620609135 is a `hidden beast` number, since 1 + 36 + 2 + 0 + 609 + 13 + 5 = 666.

13620609135 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13620609109) and next prime (13620609161).

It is not a de Polignac number, because 13620609135 - 2¹¹ = 13620607087 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 13620609135.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 38585119 + ... + 38585471.

It is an arithmetic number, because the mean of its divisors is an integer number (155370600).

Almost surely, 2^13620609135 is an apocalyptic number.

13620609135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13620609135 is an abundant number, since it is smaller than the sum of its proper divisors (16210546065).

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

13620609135 is a wasteful number, since it uses less digits than its factorization.

13620609135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The spelling of 13620609135 in words is "thirteen billion, six hundred twenty million, six hundred nine thousand, one hundred thirty-five".