135512720 has 80 divisors (see below), whose sum is σ = 366071808. Its totient is φ = 45688320.

The previous prime is 135512719. The next prime is 135512723. The reversal of 135512720 is 27215531.

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

It is a self number, because there is not a number n which added to its sum of digits gives 135512720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135512723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32177 + ... + 36143.

Almost surely, 2^135512720 is an apocalyptic number.

135512720 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 135512720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183035904).

135512720 is an abundant number, since it is smaller than the sum of its proper divisors (230559088).

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

135512720 is a wasteful number, since it uses less digits than its factorization.

135512720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 135512720 is about 11640.9930847845. The cubic root of 135512720 is about 513.6413997612.

The spelling of 135512720 in words is "one hundred thirty-five million, five hundred twelve thousand, seven hundred twenty".