135444480 has 96 divisors (see below), whose sum is σ = 433414800. Its totient is φ = 36110336.

The previous prime is 135444469. The next prime is 135444481. The reversal of 135444480 is 84444531.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135444481) 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 7 ways as a sum of consecutive naturals, for example, 28516 + ... + 32924.

Almost surely, 2^135444480 is an apocalyptic number.

135444480 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 135444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216707400).

135444480 is an abundant number, since it is smaller than the sum of its proper divisors (297970320).

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

135444480 is an equidigital number, since it uses as much as digits as its factorization.

135444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439 (or 4419 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 135444480 is about 11638.0616942857. The cubic root of 135444480 is about 513.5551673291. Note that the first 3 decimals are identical.

The spelling of 135444480 in words is "one hundred thirty-five million, four hundred forty-four thousand, four hundred eighty".