138124465801 has 9 divisors (see below), whose sum is σ = 160678425351. Its totient is φ = 118390169352.

The previous prime is 138124465733. The next prime is 138124465847. The reversal of 138124465801 is 108564421831.

The square root of 138124465801 is 371651.

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

It can be written as a sum of positive squares in only one way, i.e., 105335948025 + 32788517776 = 324555^2 + 181076^2 .

It is not a de Polignac number, because 138124465801 - 2⁹ = 138124465289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138124465891) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2575011 + ... + 2628103.

Almost surely, 2^138124465801 is an apocalyptic number.

138124465801 is the 371651-st square number.

138124465801 is the 185826-th centered octagonal number.

It is an amenable number.

138124465801 is a deficient number, since it is larger than the sum of its proper divisors (22553959550).

138124465801 is an frugal number, since it uses more digits than its factorization.

138124465801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106200 (or 53100 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 43.

The spelling of 138124465801 in words is "one hundred thirty-eight billion, one hundred twenty-four million, four hundred sixty-five thousand, eight hundred one".