135540405 has 256 divisors, whose sum is σ = 348364800. Its totient is φ = 48107520.

The previous prime is 135540323. The next prime is 135540407. The reversal of 135540405 is 504045531.

It is not a de Polignac number, because 135540405 - 2⁹ = 135539893 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135540407) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2297266 + ... + 2297324.

It is an arithmetic number, because the mean of its divisors is an integer number (1360800).

Almost surely, 2^135540405 is an apocalyptic number.

135540405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135540405 is an abundant number, since it is smaller than the sum of its proper divisors (212824395).

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

135540405 is a wasteful number, since it uses less digits than its factorization.

135540405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

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

The square root of 135540405 is about 11642.1821408188. The cubic root of 135540405 is about 513.6763760446.

Adding to 135540405 its reverse (504045531), we get a palindrome (639585936).

The spelling of 135540405 in words is "one hundred thirty-five million, five hundred forty thousand, four hundred five".