135263066400 has 720 divisors, whose sum is σ = 615018761280. Its totient is φ = 28105574400.

The previous prime is 135263066399. The next prime is 135263066443. The reversal of 135263066400 is 4660362531.

135263066400 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 6 + 3 + 0 + 6 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4976046 + ... + 5003154.

It is an arithmetic number, because the mean of its divisors is an integer number (854192724).

Almost surely, 2^135263066400 is an apocalyptic number.

135263066400 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 135263066400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307509380640).

135263066400 is an abundant number, since it is smaller than the sum of its proper divisors (479755694880).

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

135263066400 is a wasteful number, since it uses less digits than its factorization.

135263066400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27159 (or 27137 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 135263066400 in words is "one hundred thirty-five billion, two hundred sixty-three million, sixty-six thousand, four hundred".