138233000 has 64 divisors (see below), whose sum is σ = 326149200. Its totient is φ = 54835200.

The previous prime is 138232981. The next prime is 138233009. The reversal of 138233000 is 332831.

It can be written as a sum of positive squares in 8 ways, for example, as 2137444 + 136095556 = 1462^2 + 11666^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138233009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 136496 + ... + 137504.

Almost surely, 2^138233000 is an apocalyptic number.

138233000 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 138233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163074600).

138233000 is an abundant number, since it is smaller than the sum of its proper divisors (187916200).

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

138233000 is a wasteful number, since it uses less digits than its factorization.

138233000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 138233000 is about 11757.2530805456. The cubic root of 138233000 is about 517.0555980050.

Adding to 138233000 its reverse (332831), we get a palindrome (138565831).

The spelling of 138233000 in words is "one hundred thirty-eight million, two hundred thirty-three thousand".