138676800 has 168 divisors, whose sum is σ = 460345536. Its totient is φ = 36546560.

The previous prime is 138676789. The next prime is 138676807. The reversal of 138676800 is 8676831.

It is not an unprimeable number, because it can be changed into a prime (138676807) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 801514 + ... + 801686.

It is an arithmetic number, because the mean of its divisors is an integer number (2740152).

Almost surely, 2^138676800 is an apocalyptic number.

138676800 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 138676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230172768).

138676800 is an abundant number, since it is smaller than the sum of its proper divisors (321668736).

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

138676800 is a wasteful number, since it uses less digits than its factorization.

138676800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 138676800 is about 11776.1114125164. Note that the first 3 decimals coincide. The cubic root of 138676800 is about 517.6083462380.

The spelling of 138676800 in words is "one hundred thirty-eight million, six hundred seventy-six thousand, eight hundred".