135663120 has 160 divisors (see below), whose sum is σ = 471219840. Its totient is φ = 35873280.

The previous prime is 135663109. The next prime is 135663139. The reversal of 135663120 is 21366531.

135663120 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 631 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 390787 + ... + 391133.

It is an arithmetic number, because the mean of its divisors is an integer number (2945124).

Almost surely, 2^135663120 is an apocalyptic number.

135663120 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 135663120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235609920).

135663120 is an abundant number, since it is smaller than the sum of its proper divisors (335556720).

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

135663120 is a wasteful number, since it uses less digits than its factorization.

135663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 135663120 is about 11647.4512233364. The cubic root of 135663120 is about 513.8313526666.

The spelling of 135663120 in words is "one hundred thirty-five million, six hundred sixty-three thousand, one hundred twenty".