135428915252520 has 192 divisors, whose sum is σ = 466260741573120. Its totient is φ = 33973523085312.

The previous prime is 135428915252489. The next prime is 135428915252569. The reversal of 135428915252520 is 25252519824531.

135428915252520 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 2 + 8 + 91 + 5 + 2 + 525 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7262277 + ... + 17988843.

It is an arithmetic number, because the mean of its divisors is an integer number (2428441362360).

Almost surely, 2^{135428915252520} is an apocalyptic number.

135428915252520 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 135428915252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233130370786560).

135428915252520 is an abundant number, since it is smaller than the sum of its proper divisors (330831826320600).

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

135428915252520 is a wasteful number, since it uses less digits than its factorization.

135428915252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10728664 (or 10728657 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 135428915252520 in words is "one hundred thirty-five trillion, four hundred twenty-eight billion, nine hundred fifteen million, two hundred fifty-two thousand, five hundred twenty".