138814272 has 42 divisors (see below), whose sum is σ = 397887698. Its totient is φ = 46271232.

The previous prime is 138814259. The next prime is 138814283. The reversal of 138814272 is 272418831.

138814272 is a `hidden beast` number, since 1 + 388 + 1 + 4 + 272 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 47114496 = 9576^2 + 6864^2 .

It is a super-2 number, since 2×138814272² = 38538804221779968, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 119923 + ... + 121074.

Almost surely, 2^138814272 is an apocalyptic number.

138814272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138814272 is an abundant number, since it is smaller than the sum of its proper divisors (259073426).

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

138814272 is a wasteful number, since it uses less digits than its factorization.

138814272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241015 (or 241002 counting only the distinct ones).

The product of its digits is 21504, while the sum is 36.

The square root of 138814272 is about 11781.9468679841. The cubic root of 138814272 is about 517.7793269036.

The spelling of 138814272 in words is "one hundred thirty-eight million, eight hundred fourteen thousand, two hundred seventy-two".