138146000 has 40 divisors (see below), whose sum is σ = 334041864. Its totient is φ = 55257600.

The previous prime is 138145939. The next prime is 138146011. The reversal of 138146000 is 641831.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 134745664 = 1844^2 + 11608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32537 + ... + 36536.

Almost surely, 2^138146000 is an apocalyptic number.

138146000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

138146000 is an abundant number, since it is smaller than the sum of its proper divisors (195895864).

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

138146000 is an equidigital number, since it uses as much as digits as its factorization.

138146000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69096 (or 69080 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 138146000 is about 11753.5526544105. The cubic root of 138146000 is about 516.9471017764.

Adding to 138146000 its reverse (641831), we get a palindrome (138787831).

The spelling of 138146000 in words is "one hundred thirty-eight million, one hundred forty-six thousand".