135487818560 has 280 divisors, whose sum is σ = 361149000840. Its totient is φ = 48241278976.

The previous prime is 135487818533. The next prime is 135487818589. The reversal of 135487818560 is 65818784531.

It can be written as a sum of positive squares in 4 ways, for example, as 12107041024 + 123380777536 = 110032^2 + 351256^2 .

It is a junction number, because it is equal to n+sod(n) for n = 135487818496 and 135487818505.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 1522334996 + ... + 1522335084.

Almost surely, 2^135487818560 is an apocalyptic number.

135487818560 is a gapful number since it is divisible by the number (10) 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 135487818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180574500420).

135487818560 is an abundant number, since it is smaller than the sum of its proper divisors (225661182280).

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

135487818560 is an frugal number, since it uses more digits than its factorization.

135487818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 56.

The spelling of 135487818560 in words is "one hundred thirty-five billion, four hundred eighty-seven million, eight hundred eighteen thousand, five hundred sixty".