7385064138135 has 192 divisors, whose sum is σ = 13685364201600. Its totient is φ = 3818877124608.

The previous prime is 7385064138121. The next prime is 7385064138169. The reversal of 7385064138135 is 5318314605837.

7385064138135 is a `hidden beast` number, since 7 + 38 + 506 + 41 + 38 + 1 + 35 = 666.

It is not a de Polignac number, because 7385064138135 - 2⁴ = 7385064138119 is a prime.

It is a super-2 number, since 2×7385064138135² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2830609711 + ... + 2830612319.

It is an arithmetic number, because the mean of its divisors is an integer number (71277938550).

Almost surely, 2^{7385064138135} is an apocalyptic number.

7385064138135 is a deficient number, since it is larger than the sum of its proper divisors (6300300063465).

7385064138135 is a wasteful number, since it uses less digits than its factorization.

7385064138135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3184 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 7385064138135 in words is "seven trillion, three hundred eighty-five billion, sixty-four million, one hundred thirty-eight thousand, one hundred thirty-five".