135311044634400 has 144 divisors (see below), whose sum is σ = 442151216698464. Its totient is φ = 35942544506880.

The previous prime is 135311044634399. The next prime is 135311044634401. The reversal of 135311044634400 is 4436440113531.

It is an interprime number because it is at equal distance from previous prime (135311044634399) and next prime (135311044634401).

It is not an unprimeable number, because it can be changed into a prime (135311044634401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109071142 + ... + 110304741.

It is an arithmetic number, because the mean of its divisors is an integer number (3070494560406).

Almost surely, 2^{135311044634400} is an apocalyptic number.

135311044634400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135311044634400 is an abundant number, since it is smaller than the sum of its proper divisors (306840172064064).

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

135311044634400 is a wasteful number, since it uses less digits than its factorization.

135311044634400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219376163 (or 219376150 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 39.

Adding to 135311044634400 its reverse (4436440113531), we get a palindrome (139747484747931).

The spelling of 135311044634400 in words is "one hundred thirty-five trillion, three hundred eleven billion, forty-four million, six hundred thirty-four thousand, four hundred".