138601000 has 128 divisors (see below), whose sum is σ = 355829760. Its totient is φ = 50304000.

The previous prime is 138600961. The next prime is 138601007. The reversal of 138601000 is 106831.

It is not an unprimeable number, because it can be changed into a prime (138601007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 526869 + ... + 527131.

It is an arithmetic number, because the mean of its divisors is an integer number (2779920).

Almost surely, 2^138601000 is an apocalyptic number.

138601000 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 138601000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177914880).

138601000 is an abundant number, since it is smaller than the sum of its proper divisors (217228760).

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

138601000 is a wasteful number, since it uses less digits than its factorization.

138601000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 138601000 is about 11772.8925927318. The cubic root of 138601000 is about 517.5140217287.

Adding to 138601000 its reverse (106831), we get a palindrome (138707831).

The spelling of 138601000 in words is "one hundred thirty-eight million, six hundred one thousand".