138478272 has 112 divisors (see below), whose sum is σ = 381987552. Its totient is φ = 44236800.

The previous prime is 138478261. The next prime is 138478297. The reversal of 138478272 is 272874831.

138478272 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138478272² = 38352463632211968, which contains 22 as substring.

Its product of digits (150528) is a multiple of the sum of its prime divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 717408 + ... + 717600.

Almost surely, 2^138478272 is an apocalyptic number.

138478272 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 138478272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190993776).

138478272 is an abundant number, since it is smaller than the sum of its proper divisors (243509280).

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

138478272 is a wasteful number, since it uses less digits than its factorization.

138478272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 336 counting only the distinct ones).

The product of its digits is 150528, while the sum is 42.

The square root of 138478272 is about 11767.6791254690. The cubic root of 138478272 is about 517.3612276973.

The spelling of 138478272 in words is "one hundred thirty-eight million, four hundred seventy-eight thousand, two hundred seventy-two".