138623000 has 64 divisors (see below), whose sum is σ = 329378400. Its totient is φ = 54595200.

The previous prime is 138622949. The next prime is 138623011. The reversal of 138623000 is 326831.

It is a super-2 number, since 2×138623000² = 38432672258000000, which 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 15 ways as a sum of consecutive naturals, for example, 65966 + ... + 68034.

Almost surely, 2^138623000 is an apocalyptic number.

138623000 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 138623000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689200).

138623000 is an abundant number, since it is smaller than the sum of its proper divisors (190755400).

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

138623000 is a wasteful number, since it uses less digits than its factorization.

138623000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2157 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 138623000 is about 11773.8269054713. The cubic root of 138623000 is about 517.5414017768.

Adding to 138623000 its reverse (326831), we get a palindrome (138949831).

The spelling of 138623000 in words is "one hundred thirty-eight million, six hundred twenty-three thousand".