135832320 has 216 divisors, whose sum is σ = 506674896. Its totient is φ = 33398784.

The previous prime is 135832283. The next prime is 135832321. The reversal of 135832320 is 23238531.

It is not an unprimeable number, because it can be changed into a prime (135832321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149307 + ... + 150213.

Almost surely, 2^135832320 is an apocalyptic number.

135832320 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 135832320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253337448).

135832320 is an abundant number, since it is smaller than the sum of its proper divisors (370842576).

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

135832320 is a wasteful number, since it uses less digits than its factorization.

135832320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 947 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 135832320 is about 11654.7123516627. The cubic root of 135832320 is about 514.0448819484.

The spelling of 135832320 in words is "one hundred thirty-five million, eight hundred thirty-two thousand, three hundred twenty".