138426672384 has 1728 divisors, whose sum is σ = 588907468800. Its totient is φ = 31442411520.

The previous prime is 138426672383. The next prime is 138426672421. The reversal of 138426672384 is 483276624831.

138426672384 is a `hidden beast` number, since 1 + 384 + 26 + 6 + 7 + 238 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 138426672384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138426672383) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7285614327 + ... + 7285614345.

Almost surely, 2^138426672384 is an apocalyptic number.

138426672384 is a gapful number since it is divisible by the number (14) 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 138426672384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294453734400).

138426672384 is an abundant number, since it is smaller than the sum of its proper divisors (450480796416).

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

138426672384 is an equidigital number, since it uses as much as digits as its factorization.

138426672384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 55 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

The spelling of 138426672384 in words is "one hundred thirty-eight billion, four hundred twenty-six million, six hundred seventy-two thousand, three hundred eighty-four".