135187847041 has 9 divisors (see below), whose sum is σ = 146392016259. Its totient is φ = 124784369736.

The previous prime is 135187847029. The next prime is 135187847059. The reversal of 135187847041 is 140748781531.

The square root of 135187847041 is 367679.

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., 19998202225 + 115189644816 = 141415^2 + 339396^2 .

It is not a de Polignac number, because 135187847041 - 2⁵ = 135187847009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135187844041) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4765686 + ... + 4793968.

Almost surely, 2^135187847041 is an apocalyptic number.

135187847041 is the 367679-th square number.

135187847041 is the 183840-th centered octagonal number.

It is an amenable number.

135187847041 is a deficient number, since it is larger than the sum of its proper divisors (11204169218).

135187847041 is an frugal number, since it uses more digits than its factorization.

135187847041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56592 (or 28296 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 49.

Multiplying 135187847041 by its sum of digits (49), we get a square (6624204505009 = 2573753²).

The spelling of 135187847041 in words is "one hundred thirty-five billion, one hundred eighty-seven million, eight hundred forty-seven thousand, forty-one".