138667131187200 has 4680 divisors, whose sum is σ = 658612879369536. Its totient is φ = 28677390336000.

The previous prime is 138667131187199. The next prime is 138667131187201. The reversal of 138667131187200 is 2781131766831.

138667131187200 is a `hidden beast` number, since 1 + 386 + 67 + 1 + 3 + 1 + 187 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (138667131187199) and next prime (138667131187201).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138667131187201) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 657190195095 + ... + 657190195305.

Almost surely, 2^{138667131187200} is an apocalyptic number.

138667131187200 is a gapful number since it is divisible by the number (10) 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 138667131187200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329306439684768).

138667131187200 is an abundant number, since it is smaller than the sum of its proper divisors (519945748182336).

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

138667131187200 is an frugal number, since it uses more digits than its factorization.

138667131187200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 138667131187200 in words is "one hundred thirty-eight trillion, six hundred sixty-seven billion, one hundred thirty-one million, one hundred eighty-seven thousand, two hundred".