138982900 has 72 divisors (see below), whose sum is σ = 346255616. Its totient is φ = 47433600.

The previous prime is 138982897. The next prime is 138982913. The reversal of 138982900 is 9289831.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 256630 + ... + 257170.

Almost surely, 2^138982900 is an apocalyptic number.

138982900 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 138982900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173127808).

138982900 is an abundant number, since it is smaller than the sum of its proper divisors (207272716).

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

138982900 is a wasteful number, since it uses less digits than its factorization.

138982900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 138982900 is about 11789.1008987115. The cubic root of 138982900 is about 517.9889037242.

The spelling of 138982900 in words is "one hundred thirty-eight million, nine hundred eighty-two thousand, nine hundred".