135309528432 has 640 divisors, whose sum is σ = 462470400000. Its totient is φ = 37497987072.

The previous prime is 135309528373. The next prime is 135309528491. The reversal of 135309528432 is 234825903531.

135309528432 is a `hidden beast` number, since 1 + 3 + 530 + 9 + 5 + 2 + 84 + 32 = 666.

It is an interprime number because it is at equal distance from previous prime (135309528373) and next prime (135309528491).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225892069 + ... + 225892667.

It is an arithmetic number, because the mean of its divisors is an integer number (722610000).

Almost surely, 2^135309528432 is an apocalyptic number.

135309528432 is a gapful number since it is divisible by the number (12) 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 135309528432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200000).

135309528432 is an abundant number, since it is smaller than the sum of its proper divisors (327160871568).

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

135309528432 is a wasteful number, since it uses less digits than its factorization.

135309528432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 135309528432 in words is "one hundred thirty-five billion, three hundred nine million, five hundred twenty-eight thousand, four hundred thirty-two".