135643416804 has 405 divisors, whose sum is σ = 429376383513. Its totient is φ = 37230508224.

The previous prime is 135643416793. The next prime is 135643416833. The reversal of 135643416804 is 408614346531.

The square root of 135643416804 is 368298.

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

135643416804 is a `hidden beast` number, since 1 + 3 + 56 + 434 + 168 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 121375592100 + 14267824704 = 348390^2 + 119448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 135643416804.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1717005237 + ... + 1717005315.

Almost surely, 2^135643416804 is an apocalyptic number.

135643416804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

135643416804 is the 368298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135643416804

135643416804 is an abundant number, since it is smaller than the sum of its proper divisors (293732966709).

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

135643416804 is an equidigital number, since it uses as much as digits as its factorization.

135643416804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 135643416804 in words is "one hundred thirty-five billion, six hundred forty-three million, four hundred sixteen thousand, eight hundred four".