135648720 has 60 divisors (see below), whose sum is σ = 455556036. Its totient is φ = 36172800.

The previous prime is 135648719. The next prime is 135648817. The reversal of 135648720 is 27846531.

135648720 is a `hidden beast` number, since 1 + 3 + 5 + 648 + 7 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22353984 + 113294736 = 4728^2 + 10644^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93481 + ... + 94920.

Almost surely, 2^135648720 is an apocalyptic number.

135648720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135648720 is an abundant number, since it is smaller than the sum of its proper divisors (319907316).

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

135648720 is a wasteful number, since it uses less digits than its factorization.

135648720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188420 (or 188411 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 135648720 is about 11646.8330459400. The cubic root of 135648720 is about 513.8131717656.

The spelling of 135648720 in words is "one hundred thirty-five million, six hundred forty-eight thousand, seven hundred twenty".