135353400003680 has 48 divisors (see below), whose sum is σ = 320961152620080. Its totient is φ = 53940090988032.

The previous prime is 135353400003659. The next prime is 135353400003697. The reversal of 135353400003680 is 86300004353531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1572370994 + ... + 1572457073.

It is an arithmetic number, because the mean of its divisors is an integer number (6686690679585).

Almost surely, 2^{135353400003680} is an apocalyptic number.

135353400003680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135353400003680 is an abundant number, since it is smaller than the sum of its proper divisors (185607752616400).

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

135353400003680 is a wasteful number, since it uses less digits than its factorization.

135353400003680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144828351 (or 3144828343 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 41.

The spelling of 135353400003680 in words is "one hundred thirty-five trillion, three hundred fifty-three billion, four hundred million, three thousand, six hundred eighty".