138614144 has 64 divisors (see below), whose sum is σ = 288113280. Its totient is φ = 66355200.

The previous prime is 138614131. The next prime is 138614149. The reversal of 138614144 is 441416831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 138614144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138614149) 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, 718112 + ... + 718304.

It is an arithmetic number, because the mean of its divisors is an integer number (4501770).

Almost surely, 2^138614144 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 138614144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144056640).

138614144 is an abundant number, since it is smaller than the sum of its proper divisors (149499136).

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

138614144 is a wasteful number, since it uses less digits than its factorization.

138614144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 407 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 138614144 is about 11773.4508110409. The cubic root of 138614144 is about 517.5303804113.

The spelling of 138614144 in words is "one hundred thirty-eight million, six hundred fourteen thousand, one hundred forty-four".