157918017321 has 27 divisors (see below), whose sum is σ = 235754523927. Its totient is φ = 101858748480.

The previous prime is 157918017307. The next prime is 157918017337. The reversal of 157918017321 is 123710819751.

The square root of 157918017321 is 397389.

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

157918017321 is a `hidden beast` number, since 1 + 579 + 1 + 8 + 0 + 1 + 73 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42817955625 + 115100061696 = 206925^2 + 339264^2 .

It is not a de Polignac number, because 157918017321 - 2¹¹ = 157918015273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157918027321) 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, 36955041 + ... + 36959313.

Almost surely, 2^157918017321 is an apocalyptic number.

157918017321 is the 397389-th square number.

157918017321 is the 198695-th centered octagonal number.

It is an amenable number.

157918017321 is a deficient number, since it is larger than the sum of its proper divisors (77836506606).

157918017321 is an frugal number, since it uses more digits than its factorization.

157918017321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8614 (or 4307 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 45.

The spelling of 157918017321 in words is "one hundred fifty-seven billion, nine hundred eighteen million, seventeen thousand, three hundred twenty-one".