135318720 has 112 divisors (see below), whose sum is σ = 443593728. Its totient is φ = 34913280.

The previous prime is 135318719. The next prime is 135318749. The reversal of 135318720 is 27813531.

It is a super-2 number, since 2×135318720² = 36622311964876800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 27487 + ... + 32033.

Almost surely, 2^135318720 is an apocalyptic number.

135318720 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 135318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221796864).

135318720 is an abundant number, since it is smaller than the sum of its proper divisors (308275008).

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

135318720 is a wasteful number, since it uses less digits than its factorization.

135318720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4598 (or 4588 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 135318720 is about 11632.6574779798. The cubic root of 135318720 is about 513.3961730384.

The spelling of 135318720 in words is "one hundred thirty-five million, three hundred eighteen thousand, seven hundred twenty".