135795198016 has 63 divisors (see below), whose sum is σ = 273644179533. Its totient is φ = 66861365760.

The previous prime is 135795197983. The next prime is 135795198037. The reversal of 135795198016 is 610891597531.

The square root of 135795198016 is 368504.

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., 77083969600 + 58711228416 = 277640^2 + 242304^2 .

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, 215206021 + ... + 215206651.

Almost surely, 2^135795198016 is an apocalyptic number.

135795198016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

135795198016 is the 368504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135795198016

135795198016 is an abundant number, since it is smaller than the sum of its proper divisors (137848981517).

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

135795198016 is an frugal number, since it uses more digits than its factorization.

135795198016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 55.

The spelling of 135795198016 in words is "one hundred thirty-five billion, seven hundred ninety-five million, one hundred ninety-eight thousand, sixteen".