138625689384 has 288 divisors, whose sum is σ = 479850309120. Its totient is φ = 36559361664.

The previous prime is 138625689383. The next prime is 138625689403. The reversal of 138625689384 is 483986526831.

It is a happy number.

138625689384 is a `hidden beast` number, since 1 + 3 + 8 + 62 + 568 + 9 + 3 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (138625689383) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4761897 + ... + 4790919.

Almost surely, 2^138625689384 is an apocalyptic number.

138625689384 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 138625689384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239925154560).

138625689384 is an abundant number, since it is smaller than the sum of its proper divisors (341224619736).

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

138625689384 is an equidigital number, since it uses as much as digits as its factorization.

138625689384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29073 (or 29048 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 138625689384 in words is "one hundred thirty-eight billion, six hundred twenty-five million, six hundred eighty-nine thousand, three hundred eighty-four".