157132167201 has 27 divisors (see below), whose sum is σ = 228359913561. Its totient is φ = 104116575744.

The previous prime is 157132167133. The next prime is 157132167223. The reversal of 157132167201 is 102761231751.

The square root of 157132167201 is 396399.

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

157132167201 is a `hidden beast` number, since 1 + 5 + 71 + 321 + 67 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 138819582225 + 18312584976 = 372585^2 + 135324^2 .

It is a de Polignac number, because none of the positive numbers 2^k-157132167201 is a prime.

It is not an unprimeable number, because it can be changed into a prime (157132167001) 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, 272325825 + ... + 272326401.

Almost surely, 2^157132167201 is an apocalyptic number.

157132167201 is the 396399-th square number.

157132167201 is the 198200-th centered octagonal number.

It is an amenable number.

157132167201 is a deficient number, since it is larger than the sum of its proper divisors (71227746360).

157132167201 is an frugal number, since it uses more digits than its factorization.

157132167201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

Multiplying 157132167201 by its sum of digits (36), we get a square (5656758019236 = 2378394²).

Adding to 157132167201 its reverse (102761231751), we get a palindrome (259893398952).

The spelling of 157132167201 in words is "one hundred fifty-seven billion, one hundred thirty-two million, one hundred sixty-seven thousand, two hundred one".