138552 has 32 divisors (see below), whose sum is σ = 362880. Its totient is φ = 44000.

The previous prime is 138547. The next prime is 138559. The reversal of 138552 is 255831.

It is a super-4 number, since 4×138552⁴ (a number of 22 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138559) 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, 427 + ... + 677.

It is an arithmetic number, because the mean of its divisors is an integer number (11340).

2¹³⁸⁵⁵² is an apocalyptic number.

138552 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 138552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440).

138552 is an abundant number, since it is smaller than the sum of its proper divisors (224328).

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

138552 is a wasteful number, since it uses less digits than its factorization.

138552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 138552 is about 372.2257379602. The cubic root of 138552 is about 51.7453028480.

It can be divided in two parts, 138 and 552, that multiplied together give a square (76176 = 276²).

The spelling of 138552 in words is "one hundred thirty-eight thousand, five hundred fifty-two".