138312437760001 has 8 divisors (see below), whose sum is σ = 138523587920424. Its totient is φ = 138101410402560.

The previous prime is 138312437759983. The next prime is 138312437760019. The reversal of 138312437760001 is 100067734213831.

It is an interprime number because it is at equal distance from previous prime (138312437759983) and next prime (138312437760019).

It can be written as a sum of positive squares in 4 ways, for example, as 33446154060225 + 104866283699776 = 5783265^2 + 10240424^2 .

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 138312437760001 - 2¹⁷ = 138312437628929 is a prime.

It is a super-2 number, since 2×138312437760001² (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 (138312437760041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28446310 + ... + 32951743.

It is an arithmetic number, because the mean of its divisors is an integer number (17315448490053).

Almost surely, 2^{138312437760001} is an apocalyptic number.

It is an amenable number.

138312437760001 is a deficient number, since it is larger than the sum of its proper divisors (211150160423).

138312437760001 is an equidigital number, since it uses as much as digits as its factorization.

138312437760001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61401491.

The product of its (nonzero) digits is 508032, while the sum is 46.

The spelling of 138312437760001 in words is "one hundred thirty-eight trillion, three hundred twelve billion, four hundred thirty-seven million, seven hundred sixty thousand, one".