138051764994672 has 100 divisors (see below), whose sum is σ = 399615642961920. Its totient is φ = 46011060847872.

The previous prime is 138051764994667. The next prime is 138051764994677. The reversal of 138051764994672 is 276499467150831.

138051764994672 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 5 + 1 + 76 + 4 + 99 + 467 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (138051764994667) and next prime (138051764994677).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 138051764994672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138051764994677) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2467729 + ... + 16798607.

It is a 2-persistent number, because it is pandigital, and so is 2⋅138051764994672 = 276103529989344, but 3⋅138051764994672 = 414155294984016 is not.

Almost surely, 2^{138051764994672} is an apocalyptic number.

138051764994672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138051764994672 is an abundant number, since it is smaller than the sum of its proper divisors (261563877967248).

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

138051764994672 is a wasteful number, since it uses less digits than its factorization.

138051764994672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338332 (or 14338317 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 138051764994672 in words is "one hundred thirty-eight trillion, fifty-one billion, seven hundred sixty-four million, nine hundred ninety-four thousand, six hundred seventy-two".