135456360 has 128 divisors (see below), whose sum is σ = 451906560. Its totient is φ = 32256000.

The previous prime is 135456359. The next prime is 135456367. The reversal of 135456360 is 63654531.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (135456367) by changing a digit.

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, 46960 + ... + 49760.

It is an arithmetic number, because the mean of its divisors is an integer number (3530520).

Almost surely, 2^135456360 is an apocalyptic number.

135456360 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 135456360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225953280).

135456360 is an abundant number, since it is smaller than the sum of its proper divisors (316450200).

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

135456360 is a wasteful number, since it uses less digits than its factorization.

135456360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2859 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 33.

The square root of 135456360 is about 11638.5720773641. The cubic root of 135456360 is about 513.5701817395.

The spelling of 135456360 in words is "one hundred thirty-five million, four hundred fifty-six thousand, three hundred sixty".