135270720 has 168 divisors, whose sum is σ = 501203976. Its totient is φ = 33288192.

The previous prime is 135270719. The next prime is 135270721. The reversal of 135270720 is 27072531.

It is an interprime number because it is at equal distance from previous prime (135270719) and next prime (135270721).

It can be written as a sum of positive squares in 4 ways, for example, as 8573184 + 126697536 = 2928^2 + 11256^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135270721) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 35634 + ... + 39246.

It is an arithmetic number, because the mean of its divisors is an integer number (2983357).

Almost surely, 2^135270720 is an apocalyptic number.

135270720 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 135270720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250601988).

135270720 is an abundant number, since it is smaller than the sum of its proper divisors (365933256).

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

135270720 is a wasteful number, since it uses less digits than its factorization.

135270720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3649 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 135270720 is about 11630.5941378762. The cubic root of 135270720 is about 513.3354622201.

The spelling of 135270720 in words is "one hundred thirty-five million, two hundred seventy thousand, seven hundred twenty".