138837092352 has 192 divisors, whose sum is σ = 431658864000. Its totient is φ = 39667138560.

The previous prime is 138837092279. The next prime is 138837092411. The reversal of 138837092352 is 253290738831.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 138837092295 and 138837092304.

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 15 ways as a sum of consecutive naturals, for example, 2074452 + ... + 2140332.

It is an arithmetic number, because the mean of its divisors is an integer number (2248223250).

Almost surely, 2^138837092352 is an apocalyptic number.

138837092352 is a gapful number since it is divisible by the number (12) 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 138837092352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215829432000).

138837092352 is an abundant number, since it is smaller than the sum of its proper divisors (292821771648).

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

138837092352 is an frugal number, since it uses more digits than its factorization.

138837092352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65927 (or 65893 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 138837092352 in words is "one hundred thirty-eight billion, eight hundred thirty-seven million, ninety-two thousand, three hundred fifty-two".