155765198241 has 27 divisors (see below), whose sum is σ = 226268630809. Its totient is φ = 103258563072.

The previous prime is 155765198231. The next prime is 155765198287. The reversal of 155765198241 is 142891567551.

The square root of 155765198241 is 394671.

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

155765198241 is a `hidden beast` number, since 1 + 5 + 5 + 7 + 6 + 519 + 82 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 59041710225 + 96723488016 = 242985^2 + 311004^2 .

It is not a de Polignac number, because 155765198241 - 2¹¹ = 155765196193 is a prime.

It is a super-3 number, since 3×155765198241³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (155765198231) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 346915585 + ... + 346916033.

Almost surely, 2^155765198241 is an apocalyptic number.

155765198241 is the 394671-st square number.

155765198241 is the 197336-th centered octagonal number.

It is an amenable number.

155765198241 is a deficient number, since it is larger than the sum of its proper divisors (70503432568).

155765198241 is an frugal number, since it uses more digits than its factorization.

155765198241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1490 (or 745 counting only the distinct ones).

The product of its digits is 3024000, while the sum is 54.

The spelling of 155765198241 in words is "one hundred fifty-five billion, seven hundred sixty-five million, one hundred ninety-eight thousand, two hundred forty-one".