138365902757376 has 2160 divisors, whose sum is σ = 500837105895984. Its totient is φ = 38050800205824.

The previous prime is 138365902757309. The next prime is 138365902757471. The reversal of 138365902757376 is 673757209563831.

It is a happy number.

138365902757376 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 6 + 590 + 27 + 5 + 7 + 3 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 799802906026 + ... + 799802906198.

Almost surely, 2^{138365902757376} is an apocalyptic number.

138365902757376 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 138365902757376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250418552947992).

138365902757376 is an abundant number, since it is smaller than the sum of its proper divisors (362471203138608).

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

138365902757376 is an frugal number, since it uses more digits than its factorization.

138365902757376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 1200225600, while the sum is 72.

The spelling of 138365902757376 in words is "one hundred thirty-eight trillion, three hundred sixty-five billion, nine hundred two million, seven hundred fifty-seven thousand, three hundred seventy-six".