135853471872 has 192 divisors, whose sum is σ = 407007558360. Its totient is φ = 43456020480.

The previous prime is 135853471861. The next prime is 135853471903. The reversal of 135853471872 is 278174358531.

135853471872 is a `hidden beast` number, since 1 + 3 + 58 + 53 + 471 + 8 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 134677256256 + 1176215616 = 366984^2 + 34296^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3089722 + ... + 3133382.

Almost surely, 2^135853471872 is an apocalyptic number.

135853471872 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 135853471872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203503779180).

135853471872 is an abundant number, since it is smaller than the sum of its proper divisors (271154086488).

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

135853471872 is a wasteful number, since it uses less digits than its factorization.

135853471872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43791 (or 43776 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 135853471872 in words is "one hundred thirty-five billion, eight hundred fifty-three million, four hundred seventy-one thousand, eight hundred seventy-two".