135963828 has 270 divisors, whose sum is σ = 474607042. Its totient is φ = 32598720.

The previous prime is 135963827. The next prime is 135963859. The reversal of 135963828 is 828369531.

It is a happy number.

135963828 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 638 + 2 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 94128804 + 41835024 = 9702^2 + 6468^2 .

Its product of digits (311040) is a multiple of the sum of its prime divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135963827) by changing a digit.

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 89 ways as a sum of consecutive naturals, for example, 10458750 + ... + 10458762.

Almost surely, 2^135963828 is an apocalyptic number.

135963828 is a gapful number since it is divisible by the number (18) 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 135963828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237303521).

135963828 is an abundant number, since it is smaller than the sum of its proper divisors (338643214).

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

135963828 is a wasteful number, since it uses less digits than its factorization.

135963828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 36 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 135963828 is about 11660.3528248505. The cubic root of 135963828 is about 514.2107217372.

It can be divided in two parts, 13596 and 3828, that added together give a square (17424 = 132²).

The spelling of 135963828 in words is "one hundred thirty-five million, nine hundred sixty-three thousand, eight hundred twenty-eight".