157188831025009 has 27 divisors (see below), whose sum is σ = 183664348498827. Its totient is φ = 134137577103264.

The previous prime is 157188831025007. The next prime is 157188831025157. The reversal of 157188831025009 is 900520138881751.

The square root of 157188831025009 is 12537497.

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., 31921878503025 + 125266952521984 = 5649945^2 + 11192272^2 .

It is not a de Polignac number, because 157188831025009 - 2¹ = 157188831025007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157188831025007) 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, 20448653764 + ... + 20448661450.

Almost surely, 2^{157188831025009} is an apocalyptic number.

157188831025009 is the 12537497-th square number.

157188831025009 is the 6268749-th centered octagonal number.

It is an amenable number.

157188831025009 is a deficient number, since it is larger than the sum of its proper divisors (26475517473818).

157188831025009 is an frugal number, since it uses more digits than its factorization.

157188831025009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15854 (or 7927 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 58.

The spelling of 157188831025009 in words is "one hundred fifty-seven trillion, one hundred eighty-eight billion, eight hundred thirty-one million, twenty-five thousand, nine".