135000720 has 120 divisors (see below), whose sum is σ = 458288376. Its totient is φ = 35610624.

The previous prime is 135000709. The next prime is 135000727. The reversal of 135000720 is 27000531.

It can be written as a sum of positive squares in 4 ways, for example, as 19395216 + 115605504 = 4404^2 + 10752^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 135000693 and 135000702.

It is not an unprimeable number, because it can be changed into a prime (135000727) 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 23 ways as a sum of consecutive naturals, for example, 68874 + ... + 70806.

Almost surely, 2^135000720 is an apocalyptic number.

135000720 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 135000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229144188).

135000720 is an abundant number, since it is smaller than the sum of its proper divisors (323287656).

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

135000720 is a wasteful number, since it uses less digits than its factorization.

135000720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

The square root of 135000720 is about 11618.9810224477. The cubic root of 135000720 is about 512.9936959886.

The spelling of 135000720 in words is "one hundred thirty-five million, seven hundred twenty", and thus it is an aban number.