135827507791872 has 192 divisors, whose sum is σ = 433303900848000. Its totient is φ = 41793079099392.

The previous prime is 135827507791847. The next prime is 135827507791889. The reversal of 135827507791872 is 278197705728531.

135827507791872 is a `hidden beast` number, since 1 + 3 + 5 + 8 + 27 + 507 + 7 + 91 + 8 + 7 + 2 = 666.

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

It is a super-2 number, since 2×135827507791872² (a number of 29 digits) contains 22 as substring.

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 135827507791872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93756972 + ... + 95194667.

It is an arithmetic number, because the mean of its divisors is an integer number (2256791150250).

Almost surely, 2^{135827507791872} is an apocalyptic number.

135827507791872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

135827507791872 is an abundant number, since it is smaller than the sum of its proper divisors (297476393056128).

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

135827507791872 is a wasteful number, since it uses less digits than its factorization.

135827507791872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188951683 (or 188951657 counting only the distinct ones).

The product of its (nonzero) digits is 414892800, while the sum is 72.

The spelling of 135827507791872 in words is "one hundred thirty-five trillion, eight hundred twenty-seven billion, five hundred seven million, seven hundred ninety-one thousand, eight hundred seventy-two".