138010399680 has 224 divisors, whose sum is σ = 458224128000. Its totient is φ = 35126468608.

The previous prime is 138010399661. The next prime is 138010399699. The reversal of 138010399680 is 86993010831.

It is an interprime number because it is at equal distance from previous prime (138010399661) and next prime (138010399699).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10569796 + ... + 10582844.

Almost surely, 2^138010399680 is an apocalyptic number.

138010399680 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 138010399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229112064000).

138010399680 is an abundant number, since it is smaller than the sum of its proper divisors (320213728320).

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

138010399680 is a wasteful number, since it uses less digits than its factorization.

138010399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13571 (or 13561 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 138010399680 in words is "one hundred thirty-eight billion, ten million, three hundred ninety-nine thousand, six hundred eighty".