138643000 has 64 divisors (see below), whose sum is σ = 341546400. Its totient is φ = 52531200.

The previous prime is 138642983. The next prime is 138643013. The reversal of 138643000 is 346831.

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 15352 + ... + 22648.

Almost surely, 2^138643000 is an apocalyptic number.

138643000 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 138643000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170773200).

138643000 is an abundant number, since it is smaller than the sum of its proper divisors (202903400).

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

138643000 is a wasteful number, since it uses less digits than its factorization.

138643000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7337 (or 7323 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 138643000 is about 11774.6762163552. The cubic root of 138643000 is about 517.5662902159.

Adding to 138643000 its reverse (346831), we get a palindrome (138989831).

The spelling of 138643000 in words is "one hundred thirty-eight million, six hundred forty-three thousand".