157346295561 has 81 divisors (see below), whose sum is σ = 286483440789. Its totient is φ = 82938727872.

The previous prime is 157346295559. The next prime is 157346295569. The reversal of 157346295561 is 165592643751.

The square root of 157346295561 is 396669.

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

157346295561 is a `hidden beast` number, since 1 + 5 + 7 + 3 + 4 + 629 + 5 + 5 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8689781961 + 148656513600 = 93219^2 + 385560^2 .

It is not a de Polignac number, because 157346295561 - 2¹ = 157346295559 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 157346295498 and 157346295507.

It is not an unprimeable number, because it can be changed into a prime (157346295569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 108289911 + ... + 108291363.

Almost surely, 2^157346295561 is an apocalyptic number.

157346295561 is the 396669-th square number.

157346295561 is the 198335-th centered octagonal number.

It is an amenable number.

157346295561 is a deficient number, since it is larger than the sum of its proper divisors (129137145228).

157346295561 is an equidigital number, since it uses as much as digits as its factorization.

157346295561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2952 (or 1476 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 157346295561 in words is "one hundred fifty-seven billion, three hundred forty-six million, two hundred ninety-five thousand, five hundred sixty-one".