135324540103040 has 64 divisors (see below), whose sum is σ = 324278662176720. Its totient is φ = 54001241548800.

The previous prime is 135324540103037. The next prime is 135324540103043. The reversal of 135324540103040 is 40301045423531.

It is an interprime number because it is at equal distance from previous prime (135324540103037) and next prime (135324540103043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135324540103043) 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, 250852406 + ... + 251391285.

Almost surely, 2^{135324540103040} is an apocalyptic number.

135324540103040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135324540103040 is an abundant number, since it is smaller than the sum of its proper divisors (188954122073680).

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

135324540103040 is an equidigital number, since it uses as much as digits as its factorization.

135324540103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502244131 (or 502244119 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 135324540103040 its reverse (40301045423531), we get a palindrome (175625585526571).

The spelling of 135324540103040 in words is "one hundred thirty-five trillion, three hundred twenty-four billion, five hundred forty million, one hundred three thousand, forty".