138195000 has 240 divisors, whose sum is σ = 486125640. Its totient is φ = 35424000.

The previous prime is 138194983. The next prime is 138195007. The reversal of 138195000 is 591831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138195007) 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 59 ways as a sum of consecutive naturals, for example, 1664959 + ... + 1665041.

Almost surely, 2^138195000 is an apocalyptic number.

138195000 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 138195000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243062820).

138195000 is an abundant number, since it is smaller than the sum of its proper divisors (347930640).

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

138195000 is a wasteful number, since it uses less digits than its factorization.

138195000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 138195000 is about 11755.6369457380. The cubic root of 138195000 is about 517.0082144487.

The spelling of 138195000 in words is "one hundred thirty-eight million, one hundred ninety-five thousand".