135120960 has 280 divisors, whose sum is σ = 518912856. Its totient is φ = 33177600.

The previous prime is 135120949. The next prime is 135120967. The reversal of 135120960 is 69021531.

It can be written as a sum of positive squares in 4 ways, for example, as 27625536 + 107495424 = 5256^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135120967) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 336760 + ... + 337160.

Almost surely, 2^135120960 is an apocalyptic number.

135120960 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 135120960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259456428).

135120960 is an abundant number, since it is smaller than the sum of its proper divisors (383791896).

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

135120960 is a wasteful number, since it uses less digits than its factorization.

135120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 135120960 is about 11624.1541627767. The cubic root of 135120960 is about 513.1459521107.

The spelling of 135120960 in words is "one hundred thirty-five million, one hundred twenty thousand, nine hundred sixty".