135504720 has 240 divisors, whose sum is σ = 506967552. Its totient is φ = 32209920.

The previous prime is 135504709. The next prime is 135504749. The reversal of 135504720 is 27405531.

It is a happy number.

135504720 is a `hidden beast` number, since 135 + 504 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289927 + ... + 290393.

Almost surely, 2^135504720 is an apocalyptic number.

135504720 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 135504720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253483776).

135504720 is an abundant number, since it is smaller than the sum of its proper divisors (371462832).

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

135504720 is a wasteful number, since it uses less digits than its factorization.

135504720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 135504720 is about 11640.6494664172. The cubic root of 135504720 is about 513.6312919473.

The spelling of 135504720 in words is "one hundred thirty-five million, five hundred four thousand, seven hundred twenty".