135803440 has 40 divisors (see below), whose sum is σ = 318827808. Its totient is φ = 53790720.

The previous prime is 135803411. The next prime is 135803441. The reversal of 135803440 is 44308531.

135803440 is a nontrivial binomial coefficient, being equal to C(16481, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 135803399 and 135803408.

It is not an unprimeable number, because it can be changed into a prime (135803441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1 + ... + 16480.

Almost surely, 2^135803440 is an apocalyptic number.

135803440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

135803440 is the 16480-th triangular number.

135803440 is the 5494-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159413904).

135803440 is an abundant number, since it is smaller than the sum of its proper divisors (183024368).

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

135803440 is a wasteful number, since it uses less digits than its factorization.

135803440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16597 (or 16591 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 135803440 is about 11653.4733019817. The cubic root of 135803440 is about 514.0084481344.

It can be divided in two parts, 13580 and 3440, that added together give a triangular number (17020 = T₁₈₄).

The spelling of 135803440 in words is "one hundred thirty-five million, eight hundred three thousand, four hundred forty".