138852000 has 576 divisors, whose sum is σ = 613267200. Its totient is φ = 29030400.

The previous prime is 138851963. The next prime is 138852017. The reversal of 138852000 is 258831.

138852000 = T₃₀₈₀ + T₃₀₈₁ + ... + T₃₁₀₈.

It is a happy number.

138852000 is a `hidden beast` number, since 138 + 8 + 520 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 4787986 + ... + 4788014.

It is an arithmetic number, because the mean of its divisors is an integer number (1064700).

Almost surely, 2^138852000 is an apocalyptic number.

138852000 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 138852000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306633600).

138852000 is an abundant number, since it is smaller than the sum of its proper divisors (474415200).

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

138852000 is a wasteful number, since it uses less digits than its factorization.

138852000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 138852000 is about 11783.5478528328. The cubic root of 138852000 is about 517.8262313240.

The spelling of 138852000 in words is "one hundred thirty-eight million, eight hundred fifty-two thousand".