138696432 has 160 divisors (see below), whose sum is σ = 426591744. Its totient is φ = 38016000.

The previous prime is 138696427. The next prime is 138696451. The reversal of 138696432 is 234696831.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1373182 + ... + 1373282.

Almost surely, 2^138696432 is an apocalyptic number.

138696432 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 138696432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213295872).

138696432 is an abundant number, since it is smaller than the sum of its proper divisors (287895312).

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

138696432 is a wasteful number, since it uses less digits than its factorization.

138696432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 241 counting only the distinct ones).

The product of its digits is 186624, while the sum is 42.

The square root of 138696432 is about 11776.9449349141. The cubic root of 138696432 is about 517.6327704329.

It can be divided in two parts, 138696 and 432, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 138696432 in words is "one hundred thirty-eight million, six hundred ninety-six thousand, four hundred thirty-two".