138252792438 has 160 divisors (see below), whose sum is σ = 326046809088. Its totient is φ = 43730280000.

The previous prime is 138252792373. The next prime is 138252792443. The reversal of 138252792438 is 834297252831.

138252792438 is a `hidden beast` number, since 1 + 3 + 82 + 527 + 9 + 2 + 4 + 38 = 666.

It is a super-2 number, since 2×138252792438² (a number of 23 digits) contains 22 as substring.

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

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 79 ways as a sum of consecutive naturals, for example, 84454156 + ... + 84455792.

Almost surely, 2^138252792438 is an apocalyptic number.

138252792438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138252792438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163023404544).

138252792438 is an abundant number, since it is smaller than the sum of its proper divisors (187794016650).

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

138252792438 is a wasteful number, since it uses less digits than its factorization.

138252792438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1991 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

The spelling of 138252792438 in words is "one hundred thirty-eight billion, two hundred fifty-two million, seven hundred ninety-two thousand, four hundred thirty-eight".