135845115271200 has 576 divisors, whose sum is σ = 520414393847040. Its totient is φ = 34080860160000.

The previous prime is 135845115271169. The next prime is 135845115271207. The reversal of 135845115271200 is 2172511548531.

135845115271200 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 4 + 511 + 5 + 2 + 7 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (135845115271207) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 936654690 + ... + 936799710.

It is an arithmetic number, because the mean of its divisors is an integer number (903497211540).

Almost surely, 2^{135845115271200} is an apocalyptic number.

135845115271200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135845115271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260207196923520).

135845115271200 is an abundant number, since it is smaller than the sum of its proper divisors (384569278575840).

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

135845115271200 is a wasteful number, since it uses less digits than its factorization.

135845115271200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147618 (or 147599 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 135845115271200 in words is "one hundred thirty-five trillion, eight hundred forty-five billion, one hundred fifteen million, two hundred seventy-one thousand, two hundred".