135783828 has 72 divisors (see below), whose sum is σ = 366492672. Its totient is φ = 42239232.

The previous prime is 135783803. The next prime is 135783853. The reversal of 135783828 is 828387531.

It is an interprime number because it is at equal distance from previous prime (135783803) and next prime (135783853).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 76851 + ... + 78597.

It is an arithmetic number, because the mean of its divisors is an integer number (5090176).

Almost surely, 2^135783828 is an apocalyptic number.

135783828 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 135783828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183246336).

135783828 is an abundant number, since it is smaller than the sum of its proper divisors (230708844).

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

135783828 is a wasteful number, since it uses less digits than its factorization.

135783828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1901 (or 1896 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The square root of 135783828 is about 11652.6318057338. The cubic root of 135783828 is about 513.9837035010.

The spelling of 135783828 in words is "one hundred thirty-five million, seven hundred eighty-three thousand, eight hundred twenty-eight".