138758001000 has 256 divisors, whose sum is σ = 438014304000. Its totient is φ = 36569779200.

The previous prime is 138758000993. The next prime is 138758001037. The reversal of 138758001000 is 100857831.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 112172382 + ... + 112173618.

It is an arithmetic number, because the mean of its divisors is an integer number (1710993375).

Almost surely, 2^138758001000 is an apocalyptic number.

138758001000 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 138758001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219007152000).

138758001000 is an abundant number, since it is smaller than the sum of its proper divisors (299256303000).

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

138758001000 is a wasteful number, since it uses less digits than its factorization.

138758001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1655 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

Adding to 138758001000 its reverse (100857831), we get a palindrome (138858858831).

The spelling of 138758001000 in words is "one hundred thirty-eight billion, seven hundred fifty-eight million, one thousand".