135167415282300 has 72 divisors (see below), whose sum is σ = 391224013779312. Its totient is φ = 36031775360000.

The previous prime is 135167415282257. The next prime is 135167415282311. The reversal of 135167415282300 is 3282514761531.

It is a self number, because there is not a number n which added to its sum of digits gives 135167415282300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79587771 + ... + 81268370.

It is an arithmetic number, because the mean of its divisors is an integer number (5433666858046).

Almost surely, 2^{135167415282300} is an apocalyptic number.

135167415282300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135167415282300 is an abundant number, since it is smaller than the sum of its proper divisors (256056598497012).

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

135167415282300 is a wasteful number, since it uses less digits than its factorization.

135167415282300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160858959 (or 160858952 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 135167415282300 in words is "one hundred thirty-five trillion, one hundred sixty-seven billion, four hundred fifteen million, two hundred eighty-two thousand, three hundred".