135780960 has 288 divisors, whose sum is σ = 521240832. Its totient is φ = 29568000.

The previous prime is 135780959. The next prime is 135780977. The reversal of 135780960 is 69087531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 540835 + ... + 541085.

It is an arithmetic number, because the mean of its divisors is an integer number (1809864).

Almost surely, 2^135780960 is an apocalyptic number.

135780960 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 135780960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260620416).

135780960 is an abundant number, since it is smaller than the sum of its proper divisors (385459872).

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

135780960 is a wasteful number, since it uses less digits than its factorization.

135780960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 135780960 is about 11652.5087427558. The cubic root of 135780960 is about 513.9800847205.

The spelling of 135780960 in words is "one hundred thirty-five million, seven hundred eighty thousand, nine hundred sixty".