138762 has 24 divisors (see below), whose sum is σ = 324324. Its totient is φ = 42624.

The previous prime is 138739. The next prime is 138763. The reversal of 138762 is 267831.

It can be written as a sum of positive squares in 2 ways, for example, as 136161 + 2601 = 369^2 + 51^2 .

It is not an unprimeable number, because it can be changed into a prime (138763) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 63 + ... + 530.

2¹³⁸⁷⁶² is an apocalyptic number.

138762 is an abundant number, since it is smaller than the sum of its proper divisors (185562).

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

138762 is a wasteful number, since it uses less digits than its factorization.

138762 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 611 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 138762 is about 372.5077180408. The cubic root of 138762 is about 51.7714326961.

It can be divided in two parts, 138 and 762, that added together give a square (900 = 30²).

The spelling of 138762 in words is "one hundred thirty-eight thousand, seven hundred sixty-two".