138576 has 20 divisors (see below), whose sum is σ = 358112. Its totient is φ = 46176.

The previous prime is 138571. The next prime is 138577. The reversal of 138576 is 675831.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138571) 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 3 ways as a sum of consecutive naturals, for example, 1396 + ... + 1491.

2¹³⁸⁵⁷⁶ is an apocalyptic number.

138576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

138576 is an abundant number, since it is smaller than the sum of its proper divisors (219536).

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

138576 is a wasteful number, since it uses less digits than its factorization.

138576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2892 counting only the distinct ones).

The product of its digits is 5040, while the sum is 30.

The square root of 138576 is about 372.2579750657. The cubic root of 138576 is about 51.7482904521.

The spelling of 138576 in words is "one hundred thirty-eight thousand, five hundred seventy-six".