138474102312 has 1280 divisors, whose sum is σ = 542094336000. Its totient is φ = 32390088192.

The previous prime is 138474102307. The next prime is 138474102317. The reversal of 138474102312 is 213201474831.

138474102312 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 7 + 410 + 231 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (138474102307) and next prime (138474102317).

It is a super-2 number, since 2×138474102312² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (138474102317) 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 319 ways as a sum of consecutive naturals, for example, 2946257473 + ... + 2946257519.

It is an arithmetic number, because the mean of its divisors is an integer number (423511200).

Almost surely, 2^138474102312 is an apocalyptic number.

138474102312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138474102312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271047168000).

138474102312 is an abundant number, since it is smaller than the sum of its proper divisors (403620233688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138474102312 is a wasteful number, since it uses less digits than its factorization.

138474102312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 138474102312 in words is "one hundred thirty-eight billion, four hundred seventy-four million, one hundred two thousand, three hundred twelve".