138198012352 has 112 divisors (see below), whose sum is σ = 284306308704. Its totient is φ = 66608640000.

The previous prime is 138198012349. The next prime is 138198012397. The reversal of 138198012352 is 253210891831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 138198012299 and 138198012308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117017202 + ... + 117018382.

Almost surely, 2^138198012352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138198012352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142153154352).

138198012352 is an abundant number, since it is smaller than the sum of its proper divisors (146108296352).

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

138198012352 is a wasteful number, since it uses less digits than its factorization.

138198012352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1758 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 43.

The spelling of 138198012352 in words is "one hundred thirty-eight billion, one hundred ninety-eight million, twelve thousand, three hundred fifty-two".