135727020 has 144 divisors (see below), whose sum is σ = 483773472. Its totient is φ = 30366720.

The previous prime is 135727019. The next prime is 135727027. The reversal of 135727020 is 20727531.

135727020 is a `hidden beast` number, since 1 + 3 + 572 + 70 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (135727027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23104 + ... + 28376.

It is an arithmetic number, because the mean of its divisors is an integer number (3359538).

Almost surely, 2^135727020 is an apocalyptic number.

135727020 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 135727020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241886736).

135727020 is an abundant number, since it is smaller than the sum of its proper divisors (348046452).

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

135727020 is a wasteful number, since it uses less digits than its factorization.

135727020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5312 (or 5307 counting only the distinct ones).

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

The square root of 135727020 is about 11650.1939898012. The cubic root of 135727020 is about 513.9120148974.

The spelling of 135727020 in words is "one hundred thirty-five million, seven hundred twenty-seven thousand, twenty".