135191586816 has 960 divisors, whose sum is σ = 489469780800. Its totient is φ = 36628070400.

The previous prime is 135191586809. The next prime is 135191586869. The reversal of 135191586816 is 618685191531.

135191586816 is a `hidden beast` number, since 1 + 3 + 51 + 9 + 1 + 586 + 8 + 1 + 6 = 666.

135191586816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 972601275 + ... + 972601413.

It is an arithmetic number, because the mean of its divisors is an integer number (509864355).

Almost surely, 2^135191586816 is an apocalyptic number.

135191586816 is a gapful number since it is divisible by the number (16) 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 135191586816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244734890400).

135191586816 is an abundant number, since it is smaller than the sum of its proper divisors (354278193984).

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

135191586816 is a wasteful number, since it uses less digits than its factorization.

135191586816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 209 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 54.

The spelling of 135191586816 in words is "one hundred thirty-five billion, one hundred ninety-one million, five hundred eighty-six thousand, eight hundred sixteen".