138829900 has 72 divisors (see below), whose sum is σ = 334197360. Its totient is φ = 49632000.

The previous prime is 138829897. The next prime is 138829937. The reversal of 138829900 is 9928831.

It is a super-2 number, since 2×138829900² = 38547482268020000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66066 + ... + 68134.

It is an arithmetic number, because the mean of its divisors is an integer number (4641630).

Almost surely, 2^138829900 is an apocalyptic number.

138829900 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 138829900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167098680).

138829900 is an abundant number, since it is smaller than the sum of its proper divisors (195367460).

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

138829900 is a wasteful number, since it uses less digits than its factorization.

138829900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2148 counting only the distinct ones).

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

The square root of 138829900 is about 11782.6100673832. The cubic root of 138829900 is about 517.7987570663.

It can be divided in two parts, 138 and 829900, that added together give a palindrome (830038).

The spelling of 138829900 in words is "one hundred thirty-eight million, eight hundred twenty-nine thousand, nine hundred".