135224960 has 64 divisors (see below), whose sum is σ = 348160680. Its totient is φ = 49926144.

The previous prime is 135224959. The next prime is 135225001. The reversal of 135224960 is 69422531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 96983104 + 38241856 = 9848^2 + 6184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 194 + ... + 16446.

Almost surely, 2^135224960 is an apocalyptic number.

135224960 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 135224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174080340).

135224960 is an abundant number, since it is smaller than the sum of its proper divisors (212935720).

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

135224960 is a wasteful number, since it uses less digits than its factorization.

135224960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16285 (or 16273 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 135224960 is about 11628.6267460952. The cubic root of 135224960 is about 513.2775711997.

The spelling of 135224960 in words is "one hundred thirty-five million, two hundred twenty-four thousand, nine hundred sixty".