138264001 has 4 divisors (see below), whose sum is σ = 138288004. Its totient is φ = 138240000.

The previous prime is 138263981. The next prime is 138264019. The reversal of 138264001 is 100462831.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 100462831 = 7 ⋅14351833.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 8850625 = 11376^2 + 2975^2 .

It is a 3-Lehmer number, since φ(138264001) divides (138264001-1)³.

It is a cyclic number.

It is not a de Polignac number, because 138264001 - 2¹³ = 138255809 is a prime.

It is a super-3 number, since 3×138264001³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138264031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2401 + ... + 16801.

It is an arithmetic number, because the mean of its divisors is an integer number (34572001).

Almost surely, 2^138264001 is an apocalyptic number.

138264001 is the 9601-st pentagonal number.

It is an amenable number.

138264001 is a deficient number, since it is larger than the sum of its proper divisors (24003).

138264001 is an equidigital number, since it uses as much as digits as its factorization.

138264001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24002.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 138264001 is about 11758.5713843137. The cubic root of 138264001 is about 517.0942478268.

The spelling of 138264001 in words is "one hundred thirty-eight million, two hundred sixty-four thousand, one".