138350038656 has 192 divisors, whose sum is σ = 406772997120. Its totient is φ = 41515769856.

The previous prime is 138350038627. The next prime is 138350038661. The reversal of 138350038656 is 656830053831.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×138350038656² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (48) 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 (48).

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 23 ways as a sum of consecutive naturals, for example, 3433281 + ... + 3473343.

It is an arithmetic number, because the mean of its divisors is an integer number (2118609360).

Almost surely, 2^138350038656 is an apocalyptic number.

138350038656 is a gapful number since it is divisible by the number (16) 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 138350038656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203386498560).

138350038656 is an abundant number, since it is smaller than the sum of its proper divisors (268422958464).

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

138350038656 is a wasteful number, since it uses less digits than its factorization.

138350038656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40143 (or 40108 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 138350038656 in words is "one hundred thirty-eight billion, three hundred fifty million, thirty-eight thousand, six hundred fifty-six".