135413540 has 48 divisors (see below), whose sum is σ = 290796912. Its totient is φ = 52955136.

The previous prime is 135413527. The next prime is 135413563. The reversal of 135413540 is 45314531.

It can be written as a sum of positive squares in 8 ways, for example, as 16908544 + 118504996 = 4112^2 + 10886^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199682 + ... + 200358.

It is an arithmetic number, because the mean of its divisors is an integer number (6058269).

Almost surely, 2^135413540 is an apocalyptic number.

135413540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135413540 is an abundant number, since it is smaller than the sum of its proper divisors (155383372).

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

135413540 is a wasteful number, since it uses less digits than its factorization.

135413540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 135413540 is about 11636.7323592149. The cubic root of 135413540 is about 513.5160600213.

Subtracting from 135413540 its reverse (45314531), we obtain a palindrome (90099009).

The spelling of 135413540 in words is "one hundred thirty-five million, four hundred thirteen thousand, five hundred forty".