135585640 has 32 divisors (see below), whose sum is σ = 305522280. Its totient is φ = 54153472.

The previous prime is 135585617. The next prime is 135585641. The reversal of 135585640 is 46585531.

It can be written as a sum of positive squares in 4 ways, for example, as 79245604 + 56340036 = 8902^2 + 7506^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135585640.

It is not an unprimeable number, because it can be changed into a prime (135585641) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 29754 + ... + 34006.

Almost surely, 2^135585640 is an apocalyptic number.

135585640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135585640 is an abundant number, since it is smaller than the sum of its proper divisors (169936640).

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

135585640 is a wasteful number, since it uses less digits than its factorization.

135585640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5061 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The square root of 135585640 is about 11644.1246987483. The cubic root of 135585640 is about 513.7335141514.

The spelling of 135585640 in words is "one hundred thirty-five million, five hundred eighty-five thousand, six hundred forty".