135712720 has 80 divisors (see below), whose sum is σ = 370726272. Its totient is φ = 45550080.

The previous prime is 135712711. The next prime is 135712729. The reversal of 135712720 is 27217531.

It is an interprime number because it is at equal distance from previous prime (135712711) and next prime (135712729).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135712729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5509 + ... + 17371.

Almost surely, 2^135712720 is an apocalyptic number.

135712720 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 135712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185363136).

135712720 is an abundant number, since it is smaller than the sum of its proper divisors (235013552).

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

135712720 is a wasteful number, since it uses less digits than its factorization.

135712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11900 (or 11894 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 28.

The square root of 135712720 is about 11649.5802499489. The cubic root of 135712720 is about 513.8939659245.

The spelling of 135712720 in words is "one hundred thirty-five million, seven hundred twelve thousand, seven hundred twenty".