135540540 has 108 divisors (see below), whose sum is σ = 428935416. Its totient is φ = 35927712.

The previous prime is 135540533. The next prime is 135540563. The reversal of 135540540 is 45045531.

It is a tau number, because it is divible by the number of its divisors (108).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 811537 + ... + 811703.

Almost surely, 2^135540540 is an apocalyptic number.

135540540 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 135540540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214467708).

135540540 is an abundant number, since it is smaller than the sum of its proper divisors (293394876).

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

135540540 is an equidigital number, since it uses as much as digits as its factorization.

135540540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 135540540 is about 11642.1879386995. The cubic root of 135540540 is about 513.6765465873.

Multiplying 135540540 by its product of nonzero digits (6000), we get a square (813243240000 = 901800²).

The spelling of 135540540 in words is "one hundred thirty-five million, five hundred forty thousand, five hundred forty".