138432736 has 48 divisors (see below), whose sum is σ = 296881200. Its totient is φ = 63157248.

The previous prime is 138432691. The next prime is 138432743. The reversal of 138432736 is 637234831.

It is a junction number, because it is equal to n+sod(n) for n = 138432695 and 138432704.

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 7 ways as a sum of consecutive naturals, for example, 35155 + ... + 38893.

It is an arithmetic number, because the mean of its divisors is an integer number (6185025).

Almost surely, 2^138432736 is an apocalyptic number.

138432736 is a gapful number since it is divisible by the number (16) 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 138432736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148440600).

138432736 is an abundant number, since it is smaller than the sum of its proper divisors (158448464).

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

138432736 is a wasteful number, since it uses less digits than its factorization.

138432736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3851 (or 3843 counting only the distinct ones).

The product of its digits is 72576, while the sum is 37.

The square root of 138432736 is about 11765.7441753592. The cubic root of 138432736 is about 517.3045132798.

The spelling of 138432736 in words is "one hundred thirty-eight million, four hundred thirty-two thousand, seven hundred thirty-six".