138312389601 has 12 divisors (see below), whose sum is σ = 199889681940. Its totient is φ = 92159743200.

The previous prime is 138312389599. The next prime is 138312389609. The reversal of 138312389601 is 106983213831.

138312389601 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 1 + 2 + 38 + 9 + 601 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 85135568400 + 53176821201 = 291780^2 + 230601^2 .

It is not a de Polignac number, because 138312389601 - 2¹ = 138312389599 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138312389609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4024986 + ... + 4059203.

It is an arithmetic number, because the mean of its divisors is an integer number (16657473495).

Almost surely, 2^138312389601 is an apocalyptic number.

It is an amenable number.

138312389601 is a deficient number, since it is larger than the sum of its proper divisors (61577292339).

138312389601 is a wasteful number, since it uses less digits than its factorization.

138312389601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8086096 (or 8086093 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 138312389601 in words is "one hundred thirty-eight billion, three hundred twelve million, three hundred eighty-nine thousand, six hundred one".