135345310400 has 42 divisors (see below), whose sum is σ = 333034058340. Its totient is φ = 54138123520.

The previous prime is 135345310369. The next prime is 135345310421. The reversal of 135345310400 is 4013543531.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42293810 + ... + 42297009.

Almost surely, 2^135345310400 is an apocalyptic number.

135345310400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135345310400 is an abundant number, since it is smaller than the sum of its proper divisors (197688747940).

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

135345310400 is an equidigital number, since it uses as much as digits as its factorization.

135345310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84590841 (or 84590826 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

Adding to 135345310400 its reverse (4013543531), we get a palindrome (139358853931).

The spelling of 135345310400 in words is "one hundred thirty-five billion, three hundred forty-five million, three hundred ten thousand, four hundred".