138042000 has 120 divisors (see below), whose sum is σ = 482197560. Its totient is φ = 36806400.

The previous prime is 138041983. The next prime is 138042007. The reversal of 138042000 is 240831.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 589824 + 137452176 = 768^2 + 11724^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (138042007) 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 23 ways as a sum of consecutive naturals, for example, 14166 + ... + 21834.

It is an arithmetic number, because the mean of its divisors is an integer number (4018313).

Almost surely, 2^138042000 is an apocalyptic number.

138042000 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 138042000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241098780).

138042000 is an abundant number, since it is smaller than the sum of its proper divisors (344155560).

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

138042000 is a wasteful number, since it uses less digits than its factorization.

138042000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7679 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 138042000 is about 11749.1276271900. The cubic root of 138042000 is about 516.8173453459.

Adding to 138042000 its reverse (240831), we get a palindrome (138282831).

The spelling of 138042000 in words is "one hundred thirty-eight million, forty-two thousand".