138383863035000 has 320 divisors, whose sum is σ = 472389502970880. Its totient is φ = 33492311040000.

The previous prime is 138383863034969. The next prime is 138383863035013. The reversal of 138383863035000 is 530368383831.

It is a super-2 number, since 2×138383863035000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 99464152 + ... + 100845848.

It is an arithmetic number, because the mean of its divisors is an integer number (1476217196784).

Almost surely, 2^{138383863035000} is an apocalyptic number.

138383863035000 is a gapful number since it is divisible by the number (10) 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 138383863035000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236194751485440).

138383863035000 is an abundant number, since it is smaller than the sum of its proper divisors (334005639935880).

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

138383863035000 is a wasteful number, since it uses less digits than its factorization.

138383863035000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1382344 (or 1382325 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 51.

The spelling of 138383863035000 in words is "one hundred thirty-eight trillion, three hundred eighty-three billion, eight hundred sixty-three million, thirty-five thousand".