135059864527872 has 220 divisors, whose sum is σ = 403335913363900. Its totient is φ = 45017638354944.

The previous prime is 135059864527837. The next prime is 135059864527943. The reversal of 135059864527872 is 278725468950531.

135059864527872 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 5 + 98 + 6 + 4 + 527 + 8 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110544532448256 + 24515332079616 = 10514016^2 + 4951296^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 135059864527872.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2541128754 + ... + 2541181902.

It is an arithmetic number, because the mean of its divisors is an integer number (1833345060745).

It is a 1-persistent number, because it is pandigital, but 2⋅135059864527872 = 270119729055744 is not.

Almost surely, 2^{135059864527872} is an apocalyptic number.

135059864527872 is a gapful number since it is divisible by the number (12) 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 135059864527872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201667956681950).

135059864527872 is an abundant number, since it is smaller than the sum of its proper divisors (268276048836028).

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

135059864527872 is an equidigital number, since it uses as much as digits as its factorization.

135059864527872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83818 (or 83791 counting only the distinct ones).

The product of its (nonzero) digits is 1016064000, while the sum is 72.

The spelling of 135059864527872 in words is "one hundred thirty-five trillion, fifty-nine billion, eight hundred sixty-four million, five hundred twenty-seven thousand, eight hundred seventy-two".