138940032 has 256 divisors, whose sum is σ = 476282880. Its totient is φ = 34836480.

The previous prime is 138940019. The next prime is 138940051. The reversal of 138940032 is 230049831.

It is a super-2 number, since 2×138940032² = 38608664984322048, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1093953 + ... + 1094079.

It is an arithmetic number, because the mean of its divisors is an integer number (1860480).

Almost surely, 2^138940032 is an apocalyptic number.

138940032 is a gapful number since it is divisible by the number (12) 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 138940032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238141440).

138940032 is an abundant number, since it is smaller than the sum of its proper divisors (337342848).

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

138940032 is a wasteful number, since it uses less digits than its factorization.

138940032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 138940032 is about 11787.2826385049. The cubic root of 138940032 is about 517.9356419399.

Adding to 138940032 its reverse (230049831), we get a palindrome (368989863).

The spelling of 138940032 in words is "one hundred thirty-eight million, nine hundred forty thousand, thirty-two".