135006720 has 80 divisors (see below), whose sum is σ = 431624160. Its totient is φ = 35999744.

The previous prime is 135006719. The next prime is 135006733. The reversal of 135006720 is 27600531.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1110 + ... + 16469.

It is an arithmetic number, because the mean of its divisors is an integer number (5395302).

Almost surely, 2^135006720 is an apocalyptic number.

135006720 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 135006720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215812080).

135006720 is an abundant number, since it is smaller than the sum of its proper divisors (296617440).

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

135006720 is an equidigital number, since it uses as much as digits as its factorization.

135006720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17605 (or 17589 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 135006720 is about 11619.2392177801. The cubic root of 135006720 is about 513.0012957420.

The spelling of 135006720 in words is "one hundred thirty-five million, six thousand, seven hundred twenty".