138645267201 has 135 divisors (see below), whose sum is σ = 249857157641. Its totient is φ = 74065082112.

The previous prime is 138645267193. The next prime is 138645267221. The reversal of 138645267201 is 102762546831.

The square root of 138645267201 is 372351.

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

138645267201 is a `hidden beast` number, since 1 + 386 + 4 + 5 + 2 + 67 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2723274225 + 135921992976 = 52185^2 + 368676^2 .

It is not a de Polignac number, because 138645267201 - 2³ = 138645267193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138645267221) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 930505075 + ... + 930505223.

Almost surely, 2^138645267201 is an apocalyptic number.

138645267201 is the 372351-st square number.

138645267201 is the 186176-th centered octagonal number.

It is an amenable number.

138645267201 is a deficient number, since it is larger than the sum of its proper divisors (111211890440).

138645267201 is an frugal number, since it uses more digits than its factorization.

138645267201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 138645267201 in words is "one hundred thirty-eight billion, six hundred forty-five million, two hundred sixty-seven thousand, two hundred one".