138676200 has 192 divisors, whose sum is σ = 483719040. Its totient is φ = 32609280.

The previous prime is 138676171. The next prime is 138676201. The reversal of 138676200 is 2676831.

It is not an unprimeable number, because it can be changed into a prime (138676201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179014 + ... + 179786.

It is an arithmetic number, because the mean of its divisors is an integer number (2519370).

Almost surely, 2^138676200 is an apocalyptic number.

138676200 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 138676200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241859520).

138676200 is an abundant number, since it is smaller than the sum of its proper divisors (345042840).

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

138676200 is a wasteful number, since it uses less digits than its factorization.

138676200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 138676200 is about 11776.0859371864. The cubic root of 138676200 is about 517.6075997409.

It can be divided in two parts, 138 and 676200, that multiplied together give a square (93315600 = 9660²).

The spelling of 138676200 in words is "one hundred thirty-eight million, six hundred seventy-six thousand, two hundred".