135785385 has 24 divisors (see below), whose sum is σ = 235872000. Its totient is φ = 72261792.

The previous prime is 135785383. The next prime is 135785389. The reversal of 135785385 is 583587531.

It is not a de Polignac number, because 135785385 - 2¹ = 135785383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 135785385.

It is not an unprimeable number, because it can be changed into a prime (135785383) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19432 + ... + 25478.

It is an arithmetic number, because the mean of its divisors is an integer number (9828000).

Almost surely, 2^135785385 is an apocalyptic number.

135785385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135785385 is a deficient number, since it is larger than the sum of its proper divisors (100086615).

135785385 is a wasteful number, since it uses less digits than its factorization.

135785385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6557 (or 6554 counting only the distinct ones).

The product of its digits is 504000, while the sum is 45.

The square root of 135785385 is about 11652.6986144841. The cubic root of 135785385 is about 513.9856680687.

It can be divided in two parts, 135785 and 385, that multiplied together give a palindrome (52277225).

The spelling of 135785385 in words is "one hundred thirty-five million, seven hundred eighty-five thousand, three hundred eighty-five".