135784434240 has 1344 divisors, whose sum is σ = 616333885440. Its totient is φ = 27680071680.

The previous prime is 135784434217. The next prime is 135784434307. The reversal of 135784434240 is 42434487531.

135784434240 is a `hidden beast` number, since 1 + 3 + 578 + 4 + 4 + 34 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 219360651 + ... + 219361269.

It is an arithmetic number, because the mean of its divisors is an integer number (458581760).

Almost surely, 2^135784434240 is an apocalyptic number.

135784434240 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 135784434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308166942720).

135784434240 is an abundant number, since it is smaller than the sum of its proper divisors (480549451200).

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

135784434240 is a wasteful number, since it uses less digits than its factorization.

135784434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 135784434240 in words is "one hundred thirty-five billion, seven hundred eighty-four million, four hundred thirty-four thousand, two hundred forty".