138546 has 24 divisors (see below), whose sum is σ = 308880. Its totient is φ = 44856.

The previous prime is 138517. The next prime is 138547. The reversal of 138546 is 645831.

It is not an unprimeable number, because it can be changed into a prime (138547) by changing a digit.

138546 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 11 ways as a sum of consecutive naturals, for example, 685 + ... + 863.

It is an arithmetic number, because the mean of its divisors is an integer number (12870).

2¹³⁸⁵⁴⁶ is an apocalyptic number.

138546 is an abundant number, since it is smaller than the sum of its proper divisors (170334).

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

138546 is a wasteful number, since it uses less digits than its factorization.

138546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 227 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 138546 is about 372.2176782476. The cubic root of 138546 is about 51.7445558930.

It can be divided in two parts, 1385 and 46, that added together give a triangular number (1431 = T₅₃).

The spelling of 138546 in words is "one hundred thirty-eight thousand, five hundred forty-six".