157730264383041 has 27 divisors (see below), whose sum is σ = 265030207119873. Its totient is φ = 90131428938600.

The previous prime is 157730264382973. The next prime is 157730264383049. The reversal of 157730264383041 is 140383462037751.

The square root of 157730264383041 is 12559071.

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

157730264383041 is a `hidden beast` number, since 1 + 5 + 7 + 73 + 0 + 264 + 3 + 8 + 304 + 1 = 666.

It is not a de Polignac number, because 157730264383041 - 2¹⁷ = 157730264251969 is a prime.

It is a super-3 number, since 3×157730264383041³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (157730264383049) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 263441466 + ... + 264039516.

Almost surely, 2^{157730264383041} is an apocalyptic number.

157730264383041 is the 12559071-st square number.

157730264383041 is the 6279536-th centered octagonal number.

It is an amenable number.

157730264383041 is a deficient number, since it is larger than the sum of its proper divisors (107299942736832).

157730264383041 is an frugal number, since it uses more digits than its factorization.

157730264383041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196122 (or 598061 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 157730264383041 in words is "one hundred fifty-seven trillion, seven hundred thirty billion, two hundred sixty-four million, three hundred eighty-three thousand, forty-one".