138772 has 6 divisors (see below), whose sum is σ = 242858. Its totient is φ = 69384.

The previous prime is 138763. The next prime is 138793. The reversal of 138772 is 277831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 125316 + 13456 = 354^2 + 116^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 138772.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17343 + ... + 17350.

2¹³⁸⁷⁷² is an apocalyptic number.

It is an amenable number.

138772 is a deficient number, since it is larger than the sum of its proper divisors (104086).

138772 is a wasteful number, since it uses less digits than its factorization.

138772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34697 (or 34695 counting only the distinct ones).

The product of its digits is 2352, while the sum is 28.

The square root of 138772 is about 372.5211403397. The cubic root of 138772 is about 51.7726763169.

The spelling of 138772 in words is "one hundred thirty-eight thousand, seven hundred seventy-two".