135144720 has 320 divisors, whose sum is σ = 508896000. Its totient is φ = 32845824.

The previous prime is 135144697. The next prime is 135144721. The reversal of 135144720 is 27441531.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (135144721) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1518436 + ... + 1518524.

It is an arithmetic number, because the mean of its divisors is an integer number (1590300).

Almost surely, 2^135144720 is an apocalyptic number.

135144720 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 135144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254448000).

135144720 is an abundant number, since it is smaller than the sum of its proper divisors (373751280).

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

135144720 is a wasteful number, since it uses less digits than its factorization.

135144720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 135144720 is about 11625.1761276980. The cubic root of 135144720 is about 513.1760279609.

The spelling of 135144720 in words is "one hundred thirty-five million, one hundred forty-four thousand, seven hundred twenty".