138972 has 24 divisors (see below), whose sum is σ = 334096. Its totient is φ = 44928.

The previous prime is 138967. The next prime is 138977. The reversal of 138972 is 279831.

It is a happy number.

138972 is nontrivially palindromic in base 7 and base 11.

It is an interprime number because it is at equal distance from previous prime (138967) and next prime (138977).

It is a d-powerful number, because it can be written as 1 + 3⁸ + 9⁴ + 8 + 7⁶ + 2¹³ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288 + ... + 600.

2¹³⁸⁹⁷² is an apocalyptic number.

138972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138972 is an abundant number, since it is smaller than the sum of its proper divisors (195124).

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

138972 is a wasteful number, since it uses less digits than its factorization.

138972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 355 counting only the distinct ones).

The product of its digits is 3024, while the sum is 30.

The square root of 138972 is about 372.7894848302. The cubic root of 138972 is about 51.7975361946.

The spelling of 138972 in words is "one hundred thirty-eight thousand, nine hundred seventy-two".