138492 has 18 divisors (see below), whose sum is σ = 350168. Its totient is φ = 46152.

The previous prime is 138469. The next prime is 138493. The reversal of 138492 is 294831.

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138493) by changing a digit.

138492 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1888 + ... + 1959.

2¹³⁸⁴⁹² is an apocalyptic number.

138492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138492 is an abundant number, since it is smaller than the sum of its proper divisors (211676).

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

138492 is a wasteful number, since it uses less digits than its factorization.

138492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3852 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 138492 is about 372.1451329791. The cubic root of 138492 is about 51.7378323280.

It can be divided in two parts, 138 and 492, that multiplied together give a triangular number (67896 = T₃₆₈).

The spelling of 138492 in words is "one hundred thirty-eight thousand, four hundred ninety-two".