138954800 has 60 divisors (see below), whose sum is σ = 335212176. Its totient is φ = 55353600.

The previous prime is 138954797. The next prime is 138954833. The reversal of 138954800 is 8459831.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123842 + ... + 124958.

Almost surely, 2^138954800 is an apocalyptic number.

138954800 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 138954800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167606088).

138954800 is an abundant number, since it is smaller than the sum of its proper divisors (196257376).

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

138954800 is a wasteful number, since it uses less digits than its factorization.

138954800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The square root of 138954800 is about 11787.9090597103. The cubic root of 138954800 is about 517.9539918291.

The spelling of 138954800 in words is "one hundred thirty-eight million, nine hundred fifty-four thousand, eight hundred".