138417914031 has 16 divisors (see below), whose sum is σ = 191301209088. Its totient is φ = 88931318400.

The previous prime is 138417913987. The next prime is 138417914171. The reversal of 138417914031 is 130419714831.

It is not a de Polignac number, because 138417914031 - 2¹⁵ = 138417881263 is a prime.

It is a super-2 number, since 2×138417914031² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138417714031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3065481 + ... + 3110306.

It is an arithmetic number, because the mean of its divisors is an integer number (11956325568).

Almost surely, 2^138417914031 is an apocalyptic number.

138417914031 is a deficient number, since it is larger than the sum of its proper divisors (52883295057).

138417914031 is a wasteful number, since it uses less digits than its factorization.

138417914031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6176062.

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 138417914031 in words is "one hundred thirty-eight billion, four hundred seventeen million, nine hundred fourteen thousand, thirty-one".