138952 has 16 divisors (see below), whose sum is σ = 284400. Its totient is φ = 63120.

The previous prime is 138937. The next prime is 138959. The reversal of 138952 is 259831.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 138952.

It is not an unprimeable number, because it can be changed into a prime (138959) by changing a digit.

138952 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 3 ways as a sum of consecutive naturals, for example, 702 + ... + 877.

It is an arithmetic number, because the mean of its divisors is an integer number (17775).

2¹³⁸⁹⁵² is an apocalyptic number.

It is an amenable number.

138952 is an abundant number, since it is smaller than the sum of its proper divisors (145448).

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

138952 is a wasteful number, since it uses less digits than its factorization.

138952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1596 (or 1592 counting only the distinct ones).

The product of its digits is 2160, while the sum is 28.

The square root of 138952 is about 372.7626590741. The cubic root of 138952 is about 51.7950512806.

It can be divided in two parts, 1389 and 52, that added together give a palindrome (1441).

The spelling of 138952 in words is "one hundred thirty-eight thousand, nine hundred fifty-two".