135538560 has 96 divisors (see below), whose sum is σ = 468051480. Its totient is φ = 36142080.

The previous prime is 135538499. The next prime is 135538567. The reversal of 135538560 is 65835531.

135538560 is a `hidden beast` number, since 13 + 55 + 38 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135538567) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6006 + ... + 17525.

Almost surely, 2^135538560 is an apocalyptic number.

135538560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135538560 is an abundant number, since it is smaller than the sum of its proper divisors (332512920).

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

135538560 is a wasteful number, since it uses less digits than its factorization.

135538560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23556 (or 23541 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 135538560 is about 11642.1029028264. The cubic root of 135538560 is about 513.6740452827.

The spelling of 135538560 in words is "one hundred thirty-five million, five hundred thirty-eight thousand, five hundred sixty".