138704832 has 112 divisors (see below), whose sum is σ = 466059520. Its totient is φ = 39626496.

The previous prime is 138704831. The next prime is 138704837. The reversal of 138704832 is 238407831.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138704831) 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 15 ways as a sum of consecutive naturals, for example, 6363 + ... + 17829.

Almost surely, 2^138704832 is an apocalyptic number.

138704832 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 138704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233029760).

138704832 is an abundant number, since it is smaller than the sum of its proper divisors (327354688).

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

138704832 is a wasteful number, since it uses less digits than its factorization.

138704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11495 (or 11479 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 138704832 is about 11777.3015585065. The cubic root of 138704832 is about 517.6432201790.

The spelling of 138704832 in words is "one hundred thirty-eight million, seven hundred four thousand, eight hundred thirty-two".