139392 has 72 divisors (see below), whose sum is σ = 440895. Its totient is φ = 42240.

The previous prime is 139387. The next prime is 139393. The reversal of 139392 is 293931.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 69696 + 69696 = 264^2 + 264^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=264.

It is a nude number because it is divisible by every one of its digits.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 139392.

It is not an unprimeable number, because it can be changed into a prime (139393) by changing a digit.

139392 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 12667 + ... + 12677.

139392 is a Friedman number, since it can be written as 192*(9^3-3), using all its digits and the basic arithmetic operations.

2¹³⁹³⁹² is an apocalyptic number.

139392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 139392

139392 is an abundant number, since it is smaller than the sum of its proper divisors (301503).

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

139392 is a wasteful number, since it uses less digits than its factorization.

139392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42 (or 16 counting only the distinct ones).

The product of its digits is 1458, while the sum is 27.

The square root of 139392 is about 373.3523804665. The cubic root of 139392 is about 51.8496644076.

Multiplying 139392 by its product of digits (1458), we get a square (203233536 = 14256²).

It can be divided in two parts, 1393 and 92, that added together give a triangular number (1485 = T₅₄).

The spelling of 139392 in words is "one hundred thirty-nine thousand, three hundred ninety-two".