135784960 has 160 divisors (see below), whose sum is σ = 353548800. Its totient is φ = 49889280.

The previous prime is 135784949. The next prime is 135784969. The reversal of 135784960 is 69487531.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (135784969) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2301411 + ... + 2301469.

It is an arithmetic number, because the mean of its divisors is an integer number (2209680).

Almost surely, 2^135784960 is an apocalyptic number.

135784960 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 135784960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176774400).

135784960 is an abundant number, since it is smaller than the sum of its proper divisors (217763840).

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

135784960 is an equidigital number, since it uses as much as digits as its factorization.

135784960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

The square root of 135784960 is about 11652.6803783507. The cubic root of 135784960 is about 513.9851318202.

The spelling of 135784960 in words is "one hundred thirty-five million, seven hundred eighty-four thousand, nine hundred sixty".