138071900160001 has 8 divisors (see below), whose sum is σ = 138574076394600. Its totient is φ = 137569750700928.

The previous prime is 138071900159987. The next prime is 138071900160013. The reversal of 138071900160001 is 100061009170831.

It is a Cunningham number, because it is equal to 11750400²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 23798045048976 + 114273855111025 = 4878324^2 + 10689895^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 138071900160001 - 2²¹ = 138071898062849 is a prime.

It is a super-2 number, since 2×138071900160001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (138071900160031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3667275 + ... + 17017423.

It is an arithmetic number, because the mean of its divisors is an integer number (17321759549325).

Almost surely, 2^{138071900160001} is an apocalyptic number.

It is an amenable number.

138071900160001 is a deficient number, since it is larger than the sum of its proper divisors (502176234599).

138071900160001 is a wasteful number, since it uses less digits than its factorization.

138071900160001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13387763.

The product of its (nonzero) digits is 9072, while the sum is 37.

The spelling of 138071900160001 in words is "one hundred thirty-eight trillion, seventy-one billion, nine hundred million, one hundred sixty thousand, one".