135301720 has 64 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 52241280.

The previous prime is 135301687. The next prime is 135301741. The reversal of 135301720 is 27103531.

It is a junction number, because it is equal to n+sod(n) for n = 135301691 and 135301700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148065 + ... + 148975.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2^135301720 is an apocalyptic number.

135301720 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 135301720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

135301720 is an abundant number, since it is smaller than the sum of its proper divisors (179885480).

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

135301720 is a wasteful number, since it uses less digits than its factorization.

135301720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 22.

The square root of 135301720 is about 11631.9267535521. The cubic root of 135301720 is about 513.3746729325.

The spelling of 135301720 in words is "one hundred thirty-five million, three hundred one thousand, seven hundred twenty".