135759223283776 has 63 divisors (see below), whose sum is σ = 271403494434877. Its totient is φ = 67377801566720.

The previous prime is 135759223283741. The next prime is 135759223283791. The reversal of 135759223283776 is 677382322957531.

The square root of 135759223283776 is 11651576.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 79745614401600 + 56013608882176 = 8930040^2 + 7484224^2 .

It is a super-2 number, since 2×135759223283776² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12770121981 + ... + 12770132611.

Almost surely, 2^{135759223283776} is an apocalyptic number.

135759223283776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135759223283776 is the 11651576-th square number.

It is an amenable number.

135759223283776 is a deficient number, since it is larger than the sum of its proper divisors (135644271151101).

135759223283776 is an frugal number, since it uses more digits than its factorization.

135759223283776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21548 (or 10770 counting only the distinct ones).

The product of its digits is 800150400, while the sum is 70.

The spelling of 135759223283776 in words is "one hundred thirty-five trillion, seven hundred fifty-nine billion, two hundred twenty-three million, two hundred eighty-three thousand, seven hundred seventy-six".