135585820 has 24 divisors (see below), whose sum is σ = 288633744. Its totient is φ = 53490816.

The previous prime is 135585803. The next prime is 135585869. The reversal of 135585820 is 28585531.

It is a self number, because there is not a number n which added to its sum of digits gives 135585820.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44974 + ... + 47893.

It is an arithmetic number, because the mean of its divisors is an integer number (12026406).

Almost surely, 2^135585820 is an apocalyptic number.

135585820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135585820 is an abundant number, since it is smaller than the sum of its proper divisors (153047924).

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

135585820 is a wasteful number, since it uses less digits than its factorization.

135585820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92949 (or 92947 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The square root of 135585820 is about 11644.1324279656. The cubic root of 135585820 is about 513.7337414911.

The spelling of 135585820 in words is "one hundred thirty-five million, five hundred eighty-five thousand, eight hundred twenty".