135803984 has 30 divisors (see below), whose sum is σ = 272697390. Its totient is φ = 65439360.

The previous prime is 135803971. The next prime is 135803999. The reversal of 135803984 is 489308531.

It can be written as a sum of positive squares in 3 ways, for example, as 11971600 + 123832384 = 3460^2 + 11128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 250754 + ... + 251294.

It is an arithmetic number, because the mean of its divisors is an integer number (9089913).

Almost surely, 2^135803984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135803984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136348695).

135803984 is an abundant number, since it is smaller than the sum of its proper divisors (136893406).

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

135803984 is an frugal number, since it uses more digits than its factorization.

135803984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 41.

The square root of 135803984 is about 11653.4966426391. The cubic root of 135803984 is about 514.0091344700.

The spelling of 135803984 in words is "one hundred thirty-five million, eight hundred three thousand, nine hundred eighty-four".