157290766801 has 27 divisors (see below), whose sum is σ = 186662924721. Its totient is φ = 132153132384.

The previous prime is 157290766783. The next prime is 157290766817. The reversal of 157290766801 is 108667092751.

The square root of 157290766801 is 396599.

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

It can be written as a sum of positive squares in 4 ways, for example, as 5988438225 + 151302328576 = 77385^2 + 388976^2 .

It is not a de Polignac number, because 157290766801 - 2⁷ = 157290766673 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157290766861) 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 26 ways as a sum of consecutive naturals, for example, 147137695 + ... + 147138763.

Almost surely, 2^157290766801 is an apocalyptic number.

157290766801 is the 396599-th square number.

157290766801 is the 198300-th centered octagonal number.

It is an amenable number.

157290766801 is a deficient number, since it is larger than the sum of its proper divisors (29372157920).

157290766801 is an frugal number, since it uses more digits than its factorization.

157290766801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 1129 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 52.

The spelling of 157290766801 in words is "one hundred fifty-seven billion, two hundred ninety million, seven hundred sixty-six thousand, eight hundred one".