157201148196 has 45 divisors (see below), whose sum is σ = 410973511179. Its totient is φ = 52398003816.

The previous prime is 157201148191. The next prime is 157201148263. The reversal of 157201148196 is 691841102751.

The square root of 157201148196 is 396486.

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

157201148196 is a `hidden beast` number, since 1 + 5 + 72 + 0 + 11 + 481 + 96 = 666.

It is not an unprimeable number, because it can be changed into a prime (157201148191) 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 14 ways as a sum of consecutive naturals, for example, 7125735 + ... + 7147761.

Almost surely, 2^157201148196 is an apocalyptic number.

157201148196 is the 396486-th square number.

It is an amenable number.

157201148196 is an abundant number, since it is smaller than the sum of its proper divisors (253772362983).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

157201148196 is an frugal number, since it uses more digits than its factorization.

157201148196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44070 (or 22032 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 157201148196 in words is "one hundred fifty-seven billion, two hundred one million, one hundred forty-eight thousand, one hundred ninety-six".