135254863134720 has 3840 divisors, whose sum is σ = 594297962496000. Its totient is φ = 29496744345600.

The previous prime is 135254863134719. The next prime is 135254863134761. The reversal of 135254863134720 is 27431368452531.

135254863134720 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 5 + 486 + 3 + 134 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1904998072285 + ... + 1904998072355.

It is an arithmetic number, because the mean of its divisors is an integer number (154765094400).

Almost surely, 2^{135254863134720} is an apocalyptic number.

135254863134720 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 135254863134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297148981248000).

135254863134720 is an abundant number, since it is smaller than the sum of its proper divisors (459043099361280).

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

135254863134720 is an frugal number, since it uses more digits than its factorization.

135254863134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 135254863134720 in words is "one hundred thirty-five trillion, two hundred fifty-four billion, eight hundred sixty-three million, one hundred thirty-four thousand, seven hundred twenty".