135540560 has 40 divisors (see below), whose sum is σ = 319462440. Its totient is φ = 53471232.

The previous prime is 135540533. The next prime is 135540563. The reversal of 135540560 is 65045531.

It can be written as a sum of positive squares in 4 ways, for example, as 29203216 + 106337344 = 5404^2 + 10312^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×135540560² = 36742486810227200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135540563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5765 + ... + 17444.

It is an arithmetic number, because the mean of its divisors is an integer number (7986561).

Almost surely, 2^135540560 is an apocalyptic number.

135540560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135540560 is an abundant number, since it is smaller than the sum of its proper divisors (183921880).

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

135540560 is a wasteful number, since it uses less digits than its factorization.

135540560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23295 (or 23289 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 29.

The square root of 135540560 is about 11642.1887976445. The cubic root of 135540560 is about 513.6765718529.

The spelling of 135540560 in words is "one hundred thirty-five million, five hundred forty thousand, five hundred sixty".