138252 has 24 divisors (see below), whose sum is σ = 331632. Its totient is φ = 44800.

The previous prime is 138251. The next prime is 138283. The reversal of 138252 is 252831.

It is a super-2 number, since 2×138252² = 38227231008, which contains 22 as substring.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (138251) 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, 352 + ... + 632.

It is an arithmetic number, because the mean of its divisors is an integer number (13818).

2¹³⁸²⁵² is an apocalyptic number.

138252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

138252 is an abundant number, since it is smaller than the sum of its proper divisors (193380).

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

138252 is a wasteful number, since it uses less digits than its factorization.

138252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 327 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 138252 is about 371.8225383163. The cubic root of 138252 is about 51.7079286527.

Multiplying 138252 by its product of digits (480), we get a triangular number (66360960 = T₁₁₅₂₀).

The spelling of 138252 in words is "one hundred thirty-eight thousand, two hundred fifty-two".