157289180409 has 9 divisors (see below), whose sum is σ = 227197201413. Its totient is φ = 104858660412.

The previous prime is 157289180407. The next prime is 157289180453. The reversal of 157289180409 is 904081982751.

It is a happy number.

The square root of 157289180409 is 396597.

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

157289180409 is a `hidden beast` number, since 1 + 5 + 72 + 8 + 91 + 80 + 409 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 157289180409 - 2¹ = 157289180407 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157289180407) 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, 1123692 + ... + 1255890.

Almost surely, 2^157289180409 is an apocalyptic number.

157289180409 is the 396597-th square number.

157289180409 is the 198299-th centered octagonal number.

It is an amenable number.

157289180409 is a deficient number, since it is larger than the sum of its proper divisors (69908021004).

157289180409 is an frugal number, since it uses more digits than its factorization.

157289180409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264404 (or 132202 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 157289180409 in words is "one hundred fifty-seven billion, two hundred eighty-nine million, one hundred eighty thousand, four hundred nine".