135640869078016 has 297 divisors, whose sum is σ = 292810128449517. Its totient is φ = 62790452674560.

The previous prime is 135640869077983. The next prime is 135640869078023. The reversal of 135640869078016 is 610870968046531.

The square root of 135640869078016 is 11646496.

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., 105602752742400 + 30038116335616 = 10276320^2 + 5480704^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 500519811961 + ... + 500519812231.

Almost surely, 2^{135640869078016} is an apocalyptic number.

135640869078016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135640869078016 is the 11646496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135640869078016

135640869078016 is an abundant number, since it is smaller than the sum of its proper divisors (157169259371501).

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

135640869078016 is an frugal number, since it uses more digits than its factorization.

135640869078016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 64.

135640869078016 divided by its sum of digits (64) gives a square (2119388579344 = 1455812²).

The spelling of 135640869078016 in words is "one hundred thirty-five trillion, six hundred forty billion, eight hundred sixty-nine million, seventy-eight thousand, sixteen".