157148456517 has 54 divisors (see below), whose sum is σ = 248610662118. Its totient is φ = 95089202208.

The previous prime is 157148456483. The next prime is 157148456527. The reversal of 157148456517 is 715654841751.

157148456517 is a `hidden beast` number, since 1 + 5 + 71 + 4 + 8 + 4 + 56 + 517 = 666.

It can be written as a sum of positive squares in only one way, i.e., 108795085281 + 48353371236 = 329841^2 + 219894^2 .

It is not a de Polignac number, because 157148456517 - 2⁷ = 157148456389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (157148456527) 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 53 ways as a sum of consecutive naturals, for example, 287291238 + ... + 287291784.

Almost surely, 2^157148456517 is an apocalyptic number.

It is an amenable number.

157148456517 is a deficient number, since it is larger than the sum of its proper divisors (91462205601).

157148456517 is an frugal number, since it uses more digits than its factorization.

157148456517 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 630 counting only the distinct ones).

The product of its digits is 4704000, while the sum is 54.

The spelling of 157148456517 in words is "one hundred fifty-seven billion, one hundred forty-eight million, four hundred fifty-six thousand, five hundred seventeen".