135327456 has 192 divisors, whose sum is σ = 446342400. Its totient is φ = 39513600.

The previous prime is 135327449. The next prime is 135327499. The reversal of 135327456 is 654723531.

135327456 is a `hidden beast` number, since 1 + 3 + 532 + 74 + 56 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135327456.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 275371 + ... + 275861.

It is an arithmetic number, because the mean of its divisors is an integer number (2324700).

Almost surely, 2^135327456 is an apocalyptic number.

135327456 is a gapful number since it is divisible by the number (16) 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 135327456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223171200).

135327456 is an abundant number, since it is smaller than the sum of its proper divisors (311014944).

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

135327456 is a wasteful number, since it uses less digits than its factorization.

135327456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 550 (or 536 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 135327456 is about 11633.0329665139. The cubic root of 135327456 is about 513.4072208630.

The spelling of 135327456 in words is "one hundred thirty-five million, three hundred twenty-seven thousand, four hundred fifty-six".