138852144 has 120 divisors (see below), whose sum is σ = 409473792. Its totient is φ = 45541440.

The previous prime is 138852143. The next prime is 138852167. The reversal of 138852144 is 441258831.

138852144 is a `hidden beast` number, since 13 + 88 + 521 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 138852099 and 138852108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138852143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275797 + ... + 276299.

Almost surely, 2^138852144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138852144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

138852144 is an abundant number, since it is smaller than the sum of its proper divisors (270621648).

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

138852144 is an equidigital number, since it uses as much as digits as its factorization.

138852144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 579 counting only the distinct ones).

The product of its digits is 30720, while the sum is 36.

The square root of 138852144 is about 11783.5539630453. The cubic root of 138852144 is about 517.8264103322.

The spelling of 138852144 in words is "one hundred thirty-eight million, eight hundred fifty-two thousand, one hundred forty-four".