135852820 has 48 divisors (see below), whose sum is σ = 299376000. Its totient is φ = 51712640.

The previous prime is 135852817. The next prime is 135852851. The reversal of 135852820 is 28258531.

It is a super-3 number, since 3×135852820³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39531 + ... + 42829.

It is an arithmetic number, because the mean of its divisors is an integer number (6237000).

Almost surely, 2^135852820 is an apocalyptic number.

135852820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135852820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149688000).

135852820 is an abundant number, since it is smaller than the sum of its proper divisors (163523180).

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

135852820 is a wasteful number, since it uses less digits than its factorization.

135852820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3408 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 135852820 is about 11655.5917910675. The cubic root of 135852820 is about 514.0707407671.

The spelling of 135852820 in words is "one hundred thirty-five million, eight hundred fifty-two thousand, eight hundred twenty".