138702416285601 has 135 divisors (see below), whose sum is σ = 236145087030489. Its totient is φ = 78446320839936.

The previous prime is 138702416285561. The next prime is 138702416285647. The reversal of 138702416285601 is 106582614207831.

It is a happy number.

The square root of 138702416285601 is 11777199.

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

138702416285601 is a `hidden beast` number, since 1 + 3 + 8 + 7 + 0 + 2 + 4 + 1 + 6 + 28 + 5 + 601 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105990010571025 + 32712405714576 = 10295145^2 + 5719476^2 .

It is not a de Polignac number, because 138702416285601 - 2¹⁵ = 138702416252833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (138702416285801) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 195631052235 + ... + 195631052943.

Almost surely, 2^{138702416285601} is an apocalyptic number.

138702416285601 is the 11777199-th square number.

138702416285601 is the 5888600-th centered octagonal number.

It is an amenable number.

138702416285601 is a deficient number, since it is larger than the sum of its proper divisors (97442670744888).

138702416285601 is an frugal number, since it uses more digits than its factorization.

138702416285601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 138702416285601 in words is "one hundred thirty-eight trillion, seven hundred two billion, four hundred sixteen million, two hundred eighty-five thousand, six hundred one".