135824532480 has 1760 divisors, whose sum is σ = 619177870080. Its totient is φ = 27709931520.

The previous prime is 135824532463. The next prime is 135824532499. The reversal of 135824532480 is 84235428531.

135824532480 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 245 + 324 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 159 ways as a sum of consecutive naturals, for example, 2226631650 + ... + 2226631710.

It is an arithmetic number, because the mean of its divisors is an integer number (351805608).

Almost surely, 2^135824532480 is an apocalyptic number.

135824532480 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 135824532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309588935040).

135824532480 is an abundant number, since it is smaller than the sum of its proper divisors (483353337600).

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

135824532480 is a wasteful number, since it uses less digits than its factorization.

135824532480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 135824532480 in words is "one hundred thirty-five billion, eight hundred twenty-four million, five hundred thirty-two thousand, four hundred eighty".