135285667344 has 225 divisors, whose sum is σ = 416636777271. Its totient is φ = 42371942400.

The previous prime is 135285667331. The next prime is 135285667357. The reversal of 135285667344 is 443766582531.

The square root of 135285667344 is 367812.

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

135285667344 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 8 + 566 + 73 + 4 + 4 = 666.

135285667344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (135285667331) and next prime (135285667357).

It can be written as a sum of positive squares in 4 ways, for example, as 52175696400 + 83109970944 = 228420^2 + 288288^2 .

It is a super-2 number, since 2×135285667344² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 225100644 + ... + 225101244.

Almost surely, 2^135285667344 is an apocalyptic number.

135285667344 is the 367812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135285667344

135285667344 is an abundant number, since it is smaller than the sum of its proper divisors (281351109927).

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

135285667344 is an frugal number, since it uses more digits than its factorization.

135285667344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 623 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 135285667344 in words is "one hundred thirty-five billion, two hundred eighty-five million, six hundred sixty-seven thousand, three hundred forty-four".