138501432 has 48 divisors (see below), whose sum is σ = 377089440. Its totient is φ = 45923328.

The previous prime is 138501373. The next prime is 138501437. The reversal of 138501432 is 234105831.

It is a happy number.

138501432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 138501396 and 138501405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138501437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8913 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (7856030).

Almost surely, 2^138501432 is an apocalyptic number.

138501432 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 138501432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188544720).

138501432 is an abundant number, since it is smaller than the sum of its proper divisors (238588008).

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

138501432 is a wasteful number, since it uses less digits than its factorization.

138501432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10172 (or 10165 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 138501432 is about 11768.6631356327. The cubic root of 138501432 is about 517.3900683665.

The spelling of 138501432 in words is "one hundred thirty-eight million, five hundred one thousand, four hundred thirty-two".