135192960 has 288 divisors, whose sum is σ = 544190400. Its totient is φ = 30836736.

The previous prime is 135192947. The next prime is 135192971. The reversal of 135192960 is 69291531.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 282001 + ... + 282479.

It is an arithmetic number, because the mean of its divisors is an integer number (1889550).

Almost surely, 2^135192960 is an apocalyptic number.

135192960 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 135192960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272095200).

135192960 is an abundant number, since it is smaller than the sum of its proper divisors (408997440).

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

135192960 is a wasteful number, since it uses less digits than its factorization.

135192960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 135192960 is about 11627.2507498548. The cubic root of 135192960 is about 513.2370802084.

The spelling of 135192960 in words is "one hundred thirty-five million, one hundred ninety-two thousand, nine hundred sixty".