138174672105 has 48 divisors (see below), whose sum is σ = 248157898560. Its totient is φ = 71077179264.

The previous prime is 138174672091. The next prime is 138174672109. The reversal of 138174672105 is 501276471831.

138174672105 is a `hidden beast` number, since 1 + 3 + 81 + 7 + 467 + 2 + 105 = 666.

It is not a de Polignac number, because 138174672105 - 2¹⁰ = 138174671081 is a prime.

It is a super-2 number, since 2×138174672105² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (138174672109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 350259 + ... + 631688.

It is an arithmetic number, because the mean of its divisors is an integer number (5169956220).

Almost surely, 2^138174672105 is an apocalyptic number.

138174672105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138174672105 is a deficient number, since it is larger than the sum of its proper divisors (109983226455).

138174672105 is a wasteful number, since it uses less digits than its factorization.

138174672105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982070 (or 982067 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 138174672105 in words is "one hundred thirty-eight billion, one hundred seventy-four million, six hundred seventy-two thousand, one hundred five".